Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 495 · 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 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 153 cm (c) 10 cm (d) 20 cm
2. 2.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 14 cm (b) 8 cm (c) 54 cm (d) 7 cm
3. 3.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 80 sq cm (c) 34 sq cm (d) 17 sq cm
4. 4.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 32 cm (d) 30 cm
5. 5.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 10 cm (c) 40 cm (d) 6 cm
6. 6.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 32 cm (d) 16 cm
7. 7.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 15 cm (c) 27 cm (d) 30 cm
8. 8.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 128 sq cm (b) 46 sq cm (c) 23 sq cm (d) 112 sq cm
9. 9.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 10 cm (b) 6 cm (c) 3 cm (d) 4 cm
10. 10.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 176 cm
11. 11.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 70 cm (b) 6 cm (c) 12 cm (d) 7 cm
12. 12.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 49 cm (b) 180 cm (c) 58 cm (d) 29 cm
13. 13.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 46 sq cm (c) 108 sq cm (d) 23 sq cm
14. 14.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
15. 15.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 28 sq cm (c) 56 sq cm (d) 171 sq cm
16. 16.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 30 cm (b) 38 cm (c) 88 cm (d) 19 cm
17. 17.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
18. 18.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 77 cm
19. 19.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
20. 20.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 180 cm (c) 54 cm (d) 27 cm
21. 21.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 100 sq cm (d) 40 sq cm
22. 22.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
23. 23.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 26 cm (c) 15 cm (d) 30 cm
24. 24.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 17 cm
25. 25.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 10 cm (c) 18 cm (d) 9 cm
26. 26.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
27. 27.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 54 sq cm (c) 27 sq cm (d) 152 sq cm
28. 28.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 99 cm
29. 29.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 20 sq cm (c) 24 sq cm (d) 10 sq cm
30. 30.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 16 sq cm (c) 48 sq cm (d) 32 sq cm
31. 31.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 39 cm (b) 24 cm (c) 48 cm (d) 135 cm
32. 32.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 57 sq cm (d) 38 sq cm
33. 33.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 40 cm (d) 96 cm
34. 34.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 18 sq cm (d) 9 sq cm
35. 35.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 19 sq cm (c) 18 sq cm (d) 24 sq cm
36. 36.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 5 cm (c) 2 cm (d) 3 cm
37. 37.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 35 sq cm (d) 42 sq cm
38. 38.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 30 sq cm
39. 39.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 16 cm (d) 10 cm
40. 40.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm

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