Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 637 · 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 square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
2. 2.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 14 cm (b) 8 cm (c) 90 cm (d) 7 cm
3. 3.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 48 sq cm (d) 169 sq cm
4. 4.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 5 cm (c) 42 cm (d) 4 cm
5. 5.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
6. 6.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 24 sq cm (c) 32 sq cm (d) 11 sq cm
7. 7.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 12 cm (b) 55 cm (c) 7 cm (d) 6 cm
8. 8.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 21 cm (c) 40 cm (d) 42 cm
9. 9.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 80 sq cm (c) 70 sq cm (d) 34 sq cm
10. 10.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 12 cm (c) 22 cm (d) 11 cm
11. 11.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 120 cm
12. 12.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 63 cm (c) 25 cm (d) 32 cm
13. 13.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 44 cm (b) 85 cm (c) 39 cm (d) 22 cm
14. 14.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 28 sq cm (c) 35 sq cm (d) 22 sq cm
15. 15.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 9 cm (c) 112 cm (d) 8 cm
16. 16.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 34 sq cm (c) 66 sq cm (d) 17 sq cm
17. 17.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 44 sq cm (c) 22 sq cm (d) 105 sq cm
18. 18.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 60 sq cm (c) 16 sq cm (d) 48 sq cm
19. 19.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 14 cm (d) 16 cm
20. 20.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 52 cm (d) 30 cm
21. 21.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 26 sq cm (c) 52 sq cm (d) 133 sq cm
22. 22.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 8 cm (c) 16 cm (d) 12 cm
23. 23.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 135 cm
24. 24.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 240 sq cm (c) 32 sq cm (d) 260 sq cm
25. 25.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 54 sq cm (b) 20 sq cm (c) 36 sq cm (d) 40 sq cm
26. 26.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 38 cm (b) 140 cm (c) 48 cm (d) 24 cm
27. 27.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 41 cm (c) 44 cm (d) 22 cm
28. 28.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 84 cm (c) 9 cm (d) 16 cm
29. 29.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 99 cm (c) 10 cm (d) 20 cm
30. 30.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
31. 31.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 176 sq cm (d) 160 sq cm
32. 32.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 32 cm (d) 20 cm
33. 33.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
34. 34.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 27 sq cm
35. 35.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 14 cm (c) 72 cm (d) 7 cm
36. 36.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
37. 37.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 28 cm (c) 14 cm (d) 24 cm
38. 38.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
39. 39.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 46 cm (b) 29 cm (c) 58 cm (d) 204 cm
40. 40.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 33 cm (c) 5 cm (d) 4 cm

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