Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 975 · 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 162 sq cm and a length of 18 cm. What is its width? (a) 144 cm (b) 18 cm (c) 9 cm (d) 10 cm
2. 2.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 121 sq cm (d) 22 sq cm
3. 3.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 105 cm (b) 9 cm (c) 16 cm (d) 8 cm
4. 4.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 34 sq cm (b) 52 sq cm (c) 17 sq cm (d) 65 sq cm
5. 5.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 57 cm (b) 8 cm (c) 5 cm (d) 4 cm
6. 6.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 13 cm (c) 26 cm (d) 30 cm
7. 7.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 133 cm (b) 16 cm (c) 8 cm (d) 9 cm
8. 8.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 11 sq cm (c) 27 sq cm (d) 22 sq cm
9. 9.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
10. 10.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 88 sq cm (c) 19 sq cm (d) 99 sq cm
11. 11.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 28 cm (d) 14 cm
12. 12.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 198 sq cm (c) 216 sq cm (d) 29 sq cm
13. 13.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 45 sq cm (c) 34 sq cm (d) 30 sq cm
14. 14.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 170 cm (c) 22 cm (d) 12 cm
15. 15.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 128 sq cm (b) 23 sq cm (c) 112 sq cm (d) 46 sq cm
16. 16.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 162 cm (b) 27 cm (c) 54 cm (d) 45 cm
17. 17.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 72 cm (c) 17 cm (d) 34 cm
18. 18.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 119 sq cm (b) 102 sq cm (c) 46 sq cm (d) 23 sq cm
19. 19.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 18 cm (c) 10 cm (d) 9 cm
20. 20.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 24 cm
21. 21.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 14 cm (c) 8 cm (d) 16 cm
22. 22.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
23. 23.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 180 cm (b) 46 cm (c) 56 cm (d) 28 cm
24. 24.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 21 sq cm (d) 18 sq cm
25. 25.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 198 cm (b) 58 cm (c) 47 cm (d) 29 cm
26. 26.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
27. 27.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 24 cm (d) 22 cm
28. 28.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 9 cm
29. 29.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 9 cm (c) 18 cm (d) 10 cm
30. 30.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
31. 31.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 126 sq cm (b) 50 sq cm (c) 144 sq cm (d) 25 sq cm
32. 32.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 60 cm
33. 33.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
34. 34.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 28 cm
35. 35.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 28 cm (c) 11 cm (d) 18 cm
36. 36.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
37. 37.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 19 sq cm (c) 96 sq cm (d) 38 sq cm
38. 38.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 10 cm (c) 11 cm (d) 20 cm
39. 39.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 19 cm (d) 15 cm
40. 40.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 10 cm (b) 3 cm (c) 4 cm (d) 6 cm

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