Perimeter and Area — Perimeter and Area | Subjective Questions & Answers

1 A rectangle is 3 cm long and 2 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (3 + 2) = 10 cm. - Step 2: Area = 3 × 2 = 6 cm².
Step 1: Perimeter = 2 × (3 + 2) = 10 cm.
Step 2: Area = 3 × 2 = 6 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

2 A rectangle is 3 cm long and 3 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (3 + 3) = 12 cm. - Step 2: Area = 3 × 3 = 9 cm².
Step 1: Perimeter = 2 × (3 + 3) = 12 cm.
Step 2: Area = 3 × 3 = 9 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

3 A rectangle is 3 cm long and 4 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (3 + 4) = 14 cm. - Step 2: Area = 3 × 4 = 12 cm².
Step 1: Perimeter = 2 × (3 + 4) = 14 cm.
Step 2: Area = 3 × 4 = 12 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

4 A rectangle is 3 cm long and 5 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (3 + 5) = 16 cm. - Step 2: Area = 3 × 5 = 15 cm².
Step 1: Perimeter = 2 × (3 + 5) = 16 cm.
Step 2: Area = 3 × 5 = 15 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

5 A rectangle is 3 cm long and 6 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (3 + 6) = 18 cm. - Step 2: Area = 3 × 6 = 18 cm².
Step 1: Perimeter = 2 × (3 + 6) = 18 cm.
Step 2: Area = 3 × 6 = 18 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

6 A rectangle is 4 cm long and 2 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (4 + 2) = 12 cm. - Step 2: Area = 4 × 2 = 8 cm².
Step 1: Perimeter = 2 × (4 + 2) = 12 cm.
Step 2: Area = 4 × 2 = 8 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

7 A rectangle is 4 cm long and 3 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (4 + 3) = 14 cm. - Step 2: Area = 4 × 3 = 12 cm².
Step 1: Perimeter = 2 × (4 + 3) = 14 cm.
Step 2: Area = 4 × 3 = 12 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

8 A rectangle is 4 cm long and 4 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (4 + 4) = 16 cm. - Step 2: Area = 4 × 4 = 16 cm².
Step 1: Perimeter = 2 × (4 + 4) = 16 cm.
Step 2: Area = 4 × 4 = 16 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

9 A rectangle is 4 cm long and 5 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (4 + 5) = 18 cm. - Step 2: Area = 4 × 5 = 20 cm².
Step 1: Perimeter = 2 × (4 + 5) = 18 cm.
Step 2: Area = 4 × 5 = 20 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

10 A rectangle is 4 cm long and 6 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (4 + 6) = 20 cm. - Step 2: Area = 4 × 6 = 24 cm².
Step 1: Perimeter = 2 × (4 + 6) = 20 cm.
Step 2: Area = 4 × 6 = 24 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

11 A rectangle is 5 cm long and 2 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (5 + 2) = 14 cm. - Step 2: Area = 5 × 2 = 10 cm².
Step 1: Perimeter = 2 × (5 + 2) = 14 cm.
Step 2: Area = 5 × 2 = 10 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

12 A rectangle is 5 cm long and 3 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (5 + 3) = 16 cm. - Step 2: Area = 5 × 3 = 15 cm².
Step 1: Perimeter = 2 × (5 + 3) = 16 cm.
Step 2: Area = 5 × 3 = 15 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

13 A rectangle is 5 cm long and 4 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (5 + 4) = 18 cm. - Step 2: Area = 5 × 4 = 20 cm².
Step 1: Perimeter = 2 × (5 + 4) = 18 cm.
Step 2: Area = 5 × 4 = 20 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

14 A rectangle is 5 cm long and 5 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (5 + 5) = 20 cm. - Step 2: Area = 5 × 5 = 25 cm².
Step 1: Perimeter = 2 × (5 + 5) = 20 cm.
Step 2: Area = 5 × 5 = 25 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

15 A rectangle is 5 cm long and 6 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (5 + 6) = 22 cm. - Step 2: Area = 5 × 6 = 30 cm².
Step 1: Perimeter = 2 × (5 + 6) = 22 cm.
Step 2: Area = 5 × 6 = 30 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

16 A rectangle is 6 cm long and 2 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (6 + 2) = 16 cm. - Step 2: Area = 6 × 2 = 12 cm².
Step 1: Perimeter = 2 × (6 + 2) = 16 cm.
Step 2: Area = 6 × 2 = 12 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

17 A rectangle is 6 cm long and 3 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (6 + 3) = 18 cm. - Step 2: Area = 6 × 3 = 18 cm².
Step 1: Perimeter = 2 × (6 + 3) = 18 cm.
Step 2: Area = 6 × 3 = 18 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

18 A rectangle is 6 cm long and 4 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (6 + 4) = 20 cm. - Step 2: Area = 6 × 4 = 24 cm².
Step 1: Perimeter = 2 × (6 + 4) = 20 cm.
Step 2: Area = 6 × 4 = 24 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

19 A rectangle is 6 cm long and 5 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (6 + 5) = 22 cm. - Step 2: Area = 6 × 5 = 30 cm².
Step 1: Perimeter = 2 × (6 + 5) = 22 cm.
Step 2: Area = 6 × 5 = 30 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

20 A rectangle is 6 cm long and 6 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (6 + 6) = 24 cm. - Step 2: Area = 6 × 6 = 36 cm².
Step 1: Perimeter = 2 × (6 + 6) = 24 cm.
Step 2: Area = 6 × 6 = 36 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

21 A rectangle is 7 cm long and 2 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (7 + 2) = 18 cm. - Step 2: Area = 7 × 2 = 14 cm².
Step 1: Perimeter = 2 × (7 + 2) = 18 cm.
Step 2: Area = 7 × 2 = 14 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

22 A rectangle is 7 cm long and 3 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (7 + 3) = 20 cm. - Step 2: Area = 7 × 3 = 21 cm².
Step 1: Perimeter = 2 × (7 + 3) = 20 cm.
Step 2: Area = 7 × 3 = 21 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

23 A rectangle is 7 cm long and 4 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (7 + 4) = 22 cm. - Step 2: Area = 7 × 4 = 28 cm².
Step 1: Perimeter = 2 × (7 + 4) = 22 cm.
Step 2: Area = 7 × 4 = 28 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

24 A rectangle is 7 cm long and 5 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (7 + 5) = 24 cm. - Step 2: Area = 7 × 5 = 35 cm².
Step 1: Perimeter = 2 × (7 + 5) = 24 cm.
Step 2: Area = 7 × 5 = 35 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

25 A rectangle is 7 cm long and 6 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (7 + 6) = 26 cm. - Step 2: Area = 7 × 6 = 42 cm².
Step 1: Perimeter = 2 × (7 + 6) = 26 cm.
Step 2: Area = 7 × 6 = 42 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

26 A rectangle is 8 cm long and 2 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (8 + 2) = 20 cm. - Step 2: Area = 8 × 2 = 16 cm².
Step 1: Perimeter = 2 × (8 + 2) = 20 cm.
Step 2: Area = 8 × 2 = 16 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

27 A rectangle is 8 cm long and 3 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (8 + 3) = 22 cm. - Step 2: Area = 8 × 3 = 24 cm².
Step 1: Perimeter = 2 × (8 + 3) = 22 cm.
Step 2: Area = 8 × 3 = 24 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

28 A rectangle is 8 cm long and 4 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (8 + 4) = 24 cm. - Step 2: Area = 8 × 4 = 32 cm².
Step 1: Perimeter = 2 × (8 + 4) = 24 cm.
Step 2: Area = 8 × 4 = 32 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

29 A rectangle is 8 cm long and 5 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (8 + 5) = 26 cm. - Step 2: Area = 8 × 5 = 40 cm².
Step 1: Perimeter = 2 × (8 + 5) = 26 cm.
Step 2: Area = 8 × 5 = 40 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

30 A rectangle is 8 cm long and 6 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (8 + 6) = 28 cm. - Step 2: Area = 8 × 6 = 48 cm².
Step 1: Perimeter = 2 × (8 + 6) = 28 cm.
Step 2: Area = 8 × 6 = 48 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

31 A rectangle is 9 cm long and 2 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (9 + 2) = 22 cm. - Step 2: Area = 9 × 2 = 18 cm².
Step 1: Perimeter = 2 × (9 + 2) = 22 cm.
Step 2: Area = 9 × 2 = 18 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

32 A rectangle is 9 cm long and 3 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (9 + 3) = 24 cm. - Step 2: Area = 9 × 3 = 27 cm².
Step 1: Perimeter = 2 × (9 + 3) = 24 cm.
Step 2: Area = 9 × 3 = 27 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

33 A rectangle is 9 cm long and 4 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (9 + 4) = 26 cm. - Step 2: Area = 9 × 4 = 36 cm².
Step 1: Perimeter = 2 × (9 + 4) = 26 cm.
Step 2: Area = 9 × 4 = 36 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

34 A rectangle is 9 cm long and 5 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (9 + 5) = 28 cm. - Step 2: Area = 9 × 5 = 45 cm².
Step 1: Perimeter = 2 × (9 + 5) = 28 cm.
Step 2: Area = 9 × 5 = 45 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

35 A rectangle is 9 cm long and 6 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (9 + 6) = 30 cm. - Step 2: Area = 9 × 6 = 54 cm².
Step 1: Perimeter = 2 × (9 + 6) = 30 cm.
Step 2: Area = 9 × 6 = 54 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

36 A rectangle is 10 cm long and 2 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (10 + 2) = 24 cm. - Step 2: Area = 10 × 2 = 20 cm².
Step 1: Perimeter = 2 × (10 + 2) = 24 cm.
Step 2: Area = 10 × 2 = 20 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

37 A rectangle is 10 cm long and 3 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (10 + 3) = 26 cm. - Step 2: Area = 10 × 3 = 30 cm².
Step 1: Perimeter = 2 × (10 + 3) = 26 cm.
Step 2: Area = 10 × 3 = 30 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

38 A rectangle is 10 cm long and 4 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (10 + 4) = 28 cm. - Step 2: Area = 10 × 4 = 40 cm².
Step 1: Perimeter = 2 × (10 + 4) = 28 cm.
Step 2: Area = 10 × 4 = 40 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

39 A rectangle is 10 cm long and 5 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (10 + 5) = 30 cm. - Step 2: Area = 10 × 5 = 50 cm².
Step 1: Perimeter = 2 × (10 + 5) = 30 cm.
Step 2: Area = 10 × 5 = 50 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

40 A rectangle is 10 cm long and 6 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (10 + 6) = 32 cm. - Step 2: Area = 10 × 6 = 60 cm².
Step 1: Perimeter = 2 × (10 + 6) = 32 cm.
Step 2: Area = 10 × 6 = 60 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

41 A rectangle is 11 cm long and 2 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (11 + 2) = 26 cm. - Step 2: Area = 11 × 2 = 22 cm².
Step 1: Perimeter = 2 × (11 + 2) = 26 cm.
Step 2: Area = 11 × 2 = 22 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

42 A rectangle is 11 cm long and 3 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (11 + 3) = 28 cm. - Step 2: Area = 11 × 3 = 33 cm².
Step 1: Perimeter = 2 × (11 + 3) = 28 cm.
Step 2: Area = 11 × 3 = 33 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

43 A rectangle is 11 cm long and 4 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (11 + 4) = 30 cm. - Step 2: Area = 11 × 4 = 44 cm².
Step 1: Perimeter = 2 × (11 + 4) = 30 cm.
Step 2: Area = 11 × 4 = 44 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

44 A rectangle is 11 cm long and 5 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (11 + 5) = 32 cm. - Step 2: Area = 11 × 5 = 55 cm².
Step 1: Perimeter = 2 × (11 + 5) = 32 cm.
Step 2: Area = 11 × 5 = 55 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

45 A rectangle is 11 cm long and 6 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (11 + 6) = 34 cm. - Step 2: Area = 11 × 6 = 66 cm².
Step 1: Perimeter = 2 × (11 + 6) = 34 cm.
Step 2: Area = 11 × 6 = 66 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

46 A rectangle is 12 cm long and 2 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (12 + 2) = 28 cm. - Step 2: Area = 12 × 2 = 24 cm².
Step 1: Perimeter = 2 × (12 + 2) = 28 cm.
Step 2: Area = 12 × 2 = 24 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

47 A rectangle is 12 cm long and 3 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (12 + 3) = 30 cm. - Step 2: Area = 12 × 3 = 36 cm².
Step 1: Perimeter = 2 × (12 + 3) = 30 cm.
Step 2: Area = 12 × 3 = 36 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

48 A rectangle is 12 cm long and 4 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (12 + 4) = 32 cm. - Step 2: Area = 12 × 4 = 48 cm².
Step 1: Perimeter = 2 × (12 + 4) = 32 cm.
Step 2: Area = 12 × 4 = 48 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

49 A rectangle is 12 cm long and 5 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (12 + 5) = 34 cm. - Step 2: Area = 12 × 5 = 60 cm².
Step 1: Perimeter = 2 × (12 + 5) = 34 cm.
Step 2: Area = 12 × 5 = 60 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.

50 A rectangle is 12 cm long and 6 cm wide. Calculate its perimeter and area, showing the working. 3 marks

Model answer

Step 1: Perimeter = 2 × (12 + 6) = 36 cm. - Step 2: Area = 12 × 6 = 72 cm².
Step 1: Perimeter = 2 × (12 + 6) = 36 cm.
Step 2: Area = 12 × 6 = 72 cm².

Explanation

Perimeter measures the boundary length, while area counts the square units covering the region.