Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 840 · 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 64 sq cm and a length of 16 cm. What is its width? (a) 48 cm (b) 5 cm (c) 4 cm (d) 8 cm
2. 2.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 46 sq cm (b) 140 sq cm (c) 126 sq cm (d) 23 sq cm
3. 3.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
4. 4.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 13 cm (c) 12 cm (d) 24 cm
5. 5.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 26 cm (d) 24 cm
6. 6.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 40 cm (c) 51 cm (d) 20 cm
7. 7.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
8. 8.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
9. 9.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 76 sq cm (b) 22 sq cm (c) 57 sq cm (d) 44 sq cm
10. 10.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 41 cm (c) 44 cm (d) 57 cm
11. 11.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 64 sq cm (c) 80 sq cm (d) 40 sq cm
12. 12.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 34 cm (d) 32 cm
13. 13.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 3 cm (c) 28 cm (d) 4 cm
14. 14.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 78 sq cm (c) 65 sq cm (d) 36 sq cm
15. 15.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 133 sq cm (b) 25 sq cm (c) 114 sq cm (d) 50 sq cm
16. 16.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 120 cm (b) 9 cm (c) 18 cm (d) 10 cm
17. 17.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 64 sq cm (c) 30 sq cm (d) 56 sq cm
18. 18.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 130 sq cm (b) 23 sq cm (c) 46 sq cm (d) 143 sq cm
19. 19.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 24 cm
20. 20.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 16 cm (d) 24 cm
21. 21.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 19 cm (d) 11 cm
22. 22.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 50 sq cm (c) 25 sq cm (d) 100 sq cm
23. 23.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
24. 24.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 80 sq cm (d) 90 sq cm
25. 25.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 100 sq cm (b) 80 sq cm (c) 24 sq cm (d) 48 sq cm
26. 26.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 22 cm (c) 11 cm (d) 12 cm
27. 27.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 63 cm
28. 28.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 187 cm (b) 28 cm (c) 56 cm (d) 45 cm
29. 29.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 12 cm (c) 85 cm (d) 6 cm
30. 30.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 44 cm (c) 6 cm (d) 10 cm
31. 31.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 4 cm (c) 36 cm (d) 3 cm
32. 32.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 38 sq cm (c) 100 sq cm (d) 19 sq cm
33. 33.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 25 cm (b) 154 cm (c) 39 cm (d) 50 cm
34. 34.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 195 sq cm (d) 180 sq cm
35. 35.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 17 sq cm (c) 72 sq cm (d) 34 sq cm
36. 36.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
37. 37.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 143 sq cm (c) 48 sq cm (d) 156 sq cm
38. 38.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
39. 39.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 72 sq cm (b) 84 sq cm (c) 18 sq cm (d) 36 sq cm
40. 40.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 20 cm (b) 144 cm (c) 11 cm (d) 10 cm

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