Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 315 · 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 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
2. 2.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
3. 3.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
4. 4.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
5. 5.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 48 sq cm (c) 26 sq cm (d) 13 sq cm
6. 6.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 209 cm (d) 49 cm
7. 7.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
8. 8.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 42 sq cm (c) 57 sq cm (d) 21 sq cm
9. 9.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 108 sq cm (c) 120 sq cm (d) 21 sq cm
10. 10.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
11. 11.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 90 cm
12. 12.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 3 cm (c) 1 cm (d) 4 cm
13. 13.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 64 sq cm (c) 20 sq cm (d) 40 sq cm
14. 14.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 35 cm
15. 15.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 99 cm
16. 16.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 12 cm (c) 140 cm (d) 11 cm
17. 17.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 35 sq cm (d) 28 sq cm
18. 18.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 25 sq cm (b) 165 sq cm (c) 150 sq cm (d) 50 sq cm
19. 19.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 81 sq cm (c) 34 sq cm (d) 72 sq cm
20. 20.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 88 cm (c) 10 cm (d) 18 cm
21. 21.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 8 cm (c) 6 cm (d) 3 cm
22. 22.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 72 sq cm (d) 60 sq cm
23. 23.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 85 sq cm (d) 102 sq cm
24. 24.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 190 sq cm (c) 28 sq cm (d) 171 sq cm
25. 25.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 36 cm (c) 3 cm (d) 6 cm
26. 26.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 136 cm (c) 10 cm (d) 9 cm
27. 27.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 4 cm (c) 14 cm (d) 2 cm
28. 28.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 12 cm (c) 4 cm (d) 6 cm
29. 29.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 46 sq cm (c) 90 sq cm (d) 23 sq cm
30. 30.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
31. 31.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
32. 32.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 50 sq cm (c) 60 sq cm (d) 15 sq cm
33. 33.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 16 sq cm (b) 39 sq cm (c) 52 sq cm (d) 32 sq cm
34. 34.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 4 cm (c) 28 cm (d) 3 cm
35. 35.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
36. 36.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 60 cm (b) 34 cm (c) 19 cm (d) 38 cm
37. 37.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 38 sq cm (b) 75 sq cm (c) 19 sq cm (d) 60 sq cm
38. 38.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 75 cm (b) 12 cm (c) 6 cm (d) 7 cm
39. 39.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 17 sq cm (c) 34 sq cm (d) 52 sq cm
40. 40.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 95 sq cm (c) 114 sq cm (d) 24 sq cm

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