Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 615 · 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 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 22 cm (c) 140 cm (d) 11 cm
2. 2.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
3. 3.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
4. 4.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 156 cm (d) 38 cm
5. 5.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 32 cm (c) 42 cm (d) 110 cm
6. 6.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
7. 7.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 12 sq cm (d) 16 sq cm
8. 8.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 44 cm (c) 22 cm (d) 85 cm
9. 9.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
10. 10.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 39 cm (d) 29 cm
11. 11.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
12. 12.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 9 cm (c) 8 cm (d) 16 cm
13. 13.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 46 cm (b) 42 cm (c) 76 cm (d) 23 cm
14. 14.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
15. 15.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 14 cm (c) 114 cm (d) 7 cm
16. 16.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 25 cm (c) 136 cm (d) 50 cm
17. 17.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 143 cm (b) 37 cm (c) 48 cm (d) 24 cm
18. 18.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 9 cm (c) 16 cm (d) 18 cm
19. 19.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
20. 20.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 85 cm (c) 12 cm (d) 7 cm
21. 21.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 98 cm (c) 8 cm (d) 9 cm
22. 22.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 54 cm (d) 24 cm
23. 23.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
24. 24.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 17 sq cm (c) 56 sq cm (d) 34 sq cm
25. 25.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 19 sq cm (b) 88 sq cm (c) 99 sq cm (d) 38 sq cm
26. 26.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 60 cm (c) 16 cm (d) 32 cm
27. 27.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 136 cm
28. 28.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 234 sq cm (c) 30 sq cm (d) 216 sq cm
29. 29.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 12 cm (b) 40 cm (c) 6 cm (d) 7 cm
30. 30.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 200 cm (c) 22 cm (d) 11 cm
31. 31.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 57 cm (c) 8 cm (d) 4 cm
32. 32.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
33. 33.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 120 sq cm (c) 23 sq cm (d) 135 sq cm
34. 34.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 8 cm (c) 2 cm (d) 4 cm
35. 35.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 56 sq cm (c) 28 sq cm (d) 171 sq cm
36. 36.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 9 cm (c) 16 cm (d) 8 cm
37. 37.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 84 cm (c) 9 cm (d) 8 cm
38. 38.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 19 sq cm (d) 9 sq cm
39. 39.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 63 sq cm (c) 16 sq cm (d) 72 sq cm
40. 40.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 152 cm

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