Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 172 · 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 72 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 5 cm (c) 54 cm (d) 8 cm
2. 2.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 14 sq cm (c) 9 sq cm (d) 21 sq cm
3. 3.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 22 cm (c) 12 cm (d) 11 cm
4. 4.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 42 sq cm (c) 35 sq cm (d) 12 sq cm
5. 5.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 90 sq cm (c) 18 sq cm (d) 36 sq cm
6. 6.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
7. 7.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 240 sq cm (c) 220 sq cm (d) 62 sq cm
8. 8.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) 35 cm (d) 6 cm
9. 9.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
10. 10.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
11. 11.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 52 cm (c) 120 cm (d) 26 cm
12. 12.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 15 cm
13. 13.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 143 cm
14. 14.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 4 cm (c) 42 cm (d) 8 cm
15. 15.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 26 sq cm (c) 13 sq cm (d) 33 sq cm
16. 16.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 187 cm (c) 24 cm (d) 13 cm
17. 17.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 40 cm (c) 14 cm (d) 28 cm
18. 18.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
19. 19.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 3 cm (c) 16 cm (d) 4 cm
20. 20.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
21. 21.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 11 sq cm (c) 22 sq cm (d) 36 sq cm
22. 22.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 21 sq cm (c) 42 sq cm (d) 68 sq cm
23. 23.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 42 cm (c) 180 cm (d) 27 cm
24. 24.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 64 sq cm (b) 80 sq cm (c) 40 sq cm (d) 20 sq cm
25. 25.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 72 sq cm (c) 81 sq cm (d) 34 sq cm
26. 26.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 46 cm (b) 76 cm (c) 23 cm (d) 42 cm
27. 27.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 14 cm (c) 78 cm (d) 8 cm
28. 28.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 105 cm
29. 29.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 48 cm (c) 5 cm (d) 4 cm
30. 30.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 7 cm (c) 6 cm (d) 12 cm
31. 31.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
32. 32.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 120 cm
33. 33.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 10 sq cm (d) 24 sq cm
34. 34.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 14 cm (c) 9 cm (d) 16 cm
35. 35.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 13 sq cm (c) 49 sq cm (d) 26 sq cm
36. 36.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 12 cm (c) 11 cm (d) 22 cm
37. 37.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 66 cm
38. 38.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 130 cm (c) 11 cm (d) 12 cm
39. 39.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 38 sq cm (c) 19 sq cm (d) 90 sq cm
40. 40.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 26 cm (d) 36 cm

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