Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 165 · 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 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
2. 2.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 16 cm (c) 98 cm (d) 9 cm
3. 3.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 99 cm (c) 20 cm (d) 10 cm
4. 4.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 28 sq cm (c) 35 sq cm (d) 22 sq cm
5. 5.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 104 sq cm (c) 117 sq cm (d) 42 sq cm
6. 6.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
7. 7.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 46 sq cm (c) 76 sq cm (d) 23 sq cm
8. 8.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 36 sq cm (c) 72 sq cm (d) 18 sq cm
9. 9.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
10. 10.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 44 sq cm (d) 33 sq cm
11. 11.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
12. 12.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 26 cm (c) 13 cm (d) 40 cm
13. 13.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 10 sq cm (c) 21 sq cm (d) 20 sq cm
14. 14.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 105 sq cm (b) 21 sq cm (c) 90 sq cm (d) 42 sq cm
15. 15.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 102 sq cm (b) 119 sq cm (c) 23 sq cm (d) 46 sq cm
16. 16.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 160 cm (b) 28 cm (c) 48 cm (d) 56 cm
17. 17.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 10 cm
18. 18.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 3 cm (c) 11 cm (d) 2 cm
19. 19.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 136 sq cm (d) 119 sq cm
20. 20.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 28 cm (c) 24 cm (d) 14 cm
21. 21.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 22 sq cm (c) 18 sq cm (d) 11 sq cm
22. 22.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
23. 23.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 48 cm (b) 35 cm (c) 19 cm (d) 38 cm
24. 24.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 96 sq cm (d) 84 sq cm
25. 25.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 11 cm (c) 10 cm (d) 20 cm
26. 26.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 27 cm
27. 27.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 84 cm
28. 28.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 171 cm
29. 29.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 48 cm (b) 216 cm (c) 60 cm (d) 30 cm
30. 30.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 37 cm (b) 21 cm (c) 42 cm (d) 80 cm
31. 31.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 96 sq cm (b) 21 sq cm (c) 80 sq cm (d) 42 sq cm
32. 32.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 80 sq cm (c) 70 sq cm (d) 17 sq cm
33. 33.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 54 cm (b) 162 cm (c) 27 cm (d) 45 cm
34. 34.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 28 sq cm (c) 14 sq cm (d) 40 sq cm
35. 35.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
36. 36.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 16 cm (d) 20 cm
37. 37.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 10 cm (c) 104 cm (d) 9 cm
38. 38.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 12 sq cm (c) 24 sq cm (d) 20 sq cm
39. 39.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 66 cm (c) 17 cm (d) 34 cm
40. 40.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 76 cm

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