Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 393 · 40 questions

How to solve it (Round or inside?): Rectangle: perimeter = 2 × (length + width); area = length × width. Square: perimeter = 4 × side; area = side × side. From the perimeter, side = perimeter ÷ 4. Missing side: width = area ÷ length.

1. 1.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 144 cm (b) 10 cm (c) 9 cm (d) 18 cm
2. 2.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 27 sq cm (b) 180 sq cm (c) 54 sq cm (d) 162 sq cm
3. 3.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 204 cm (b) 46 cm (c) 29 cm (d) 58 cm
4. 4.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
5. 5.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
6. 6.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
7. 7.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 54 sq cm (c) 30 sq cm (d) 63 sq cm
8. 8.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 15 cm (d) 18 cm
9. 9.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 30 sq cm (d) 12 sq cm
10. 10.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 12 cm (c) 6 cm (d) 7 cm
11. 11.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 12 cm (d) 24 cm
12. 12.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 21 cm (c) 54 cm (d) 42 cm
13. 13.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 81 sq cm (c) 17 sq cm (d) 34 sq cm
14. 14.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 12 cm (c) 130 cm (d) 11 cm
15. 15.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 13 cm (c) 143 cm (d) 24 cm
16. 16.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
17. 17.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
18. 18.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
19. 19.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 27 cm (c) 30 cm (d) 15 cm
20. 20.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
21. 21.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
22. 22.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
23. 23.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 28 sq cm (c) 14 sq cm (d) 40 sq cm
24. 24.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 133 cm (c) 9 cm (d) 8 cm
25. 25.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 40 sq cm (c) 26 sq cm (d) 13 sq cm
26. 26.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 58 sq cm (b) 200 sq cm (c) 180 sq cm (d) 29 sq cm
27. 27.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
28. 28.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 6 cm
29. 29.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 42 sq cm (c) 24 sq cm (d) 35 sq cm
30. 30.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 99 cm (d) 31 cm
31. 31.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 28 cm (c) 6 cm (d) 4 cm
32. 32.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 10 cm (d) 20 cm
33. 33.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 180 cm (b) 46 cm (c) 56 cm (d) 28 cm
34. 34.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 130 sq cm (b) 23 sq cm (c) 143 sq cm (d) 46 sq cm
35. 35.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 108 sq cm (d) 96 sq cm
36. 36.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 42 sq cm (c) 110 sq cm (d) 21 sq cm
37. 37.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 20 cm (c) 40 cm (d) 84 cm
38. 38.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 26 cm (c) 17 cm (d) 34 cm
39. 39.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 72 cm
40. 40.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 12 sq cm (d) 8 sq cm

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