Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 622 · 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 135 sq cm and a length of 15 cm. What is its width? (a) 18 cm (b) 9 cm (c) 120 cm (d) 10 cm
2. 2.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 12 cm (c) 150 cm (d) 22 cm
3. 3.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 105 cm
4. 4.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 12 cm (c) 22 cm (d) 11 cm
5. 5.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 26 sq cm (c) 13 sq cm (d) 36 sq cm
6. 6.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
7. 7.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 30 sq cm (c) 15 sq cm (d) 36 sq cm
8. 8.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 42 sq cm (c) 13 sq cm (d) 49 sq cm
9. 9.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 25 sq cm (b) 126 sq cm (c) 50 sq cm (d) 144 sq cm
10. 10.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 54 cm (b) 8 cm (c) 14 cm (d) 7 cm
11. 11.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 37 cm (d) 51 cm
12. 12.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 32 cm (c) 28 cm (d) 16 cm
13. 13.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 43 cm (b) 25 cm (c) 50 cm (d) 126 cm
14. 14.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 40 cm (c) 6 cm (d) 12 cm
15. 15.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 8 cm (c) 66 cm (d) 14 cm
16. 16.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
17. 17.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 10 cm (c) 52 cm (d) 5 cm
18. 18.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 160 cm (c) 11 cm (d) 12 cm
19. 19.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 21 sq cm (d) 28 sq cm
20. 20.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
21. 21.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
22. 22.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 7 cm (c) 14 cm (d) 8 cm
23. 23.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 110 sq cm (d) 121 sq cm
24. 24.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 36 sq cm (d) 24 sq cm
25. 25.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
26. 26.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
27. 27.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 63 sq cm (c) 32 sq cm (d) 16 sq cm
28. 28.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
29. 29.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
30. 30.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 100 sq cm (d) 20 sq cm
31. 31.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 144 cm
32. 32.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 56 sq cm (d) 42 sq cm
33. 33.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 198 sq cm (b) 29 sq cm (c) 58 sq cm (d) 216 sq cm
34. 34.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 16 sq cm (b) 55 sq cm (c) 32 sq cm (d) 66 sq cm
35. 35.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 18 sq cm (d) 19 sq cm
36. 36.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 18 cm (c) 136 cm (d) 9 cm
37. 37.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 38 cm (c) 19 cm (d) 30 cm
38. 38.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 22 cm (c) 37 cm (d) 44 cm
39. 39.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 51 sq cm (c) 68 sq cm (d) 20 sq cm
40. 40.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 12 sq cm (d) 42 sq cm

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