Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 376 · 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 90 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 80 cm
2. 2.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
3. 3.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 12 cm (c) 35 cm (d) 24 cm
4. 4.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 24 cm
5. 5.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 60 cm
6. 6.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 45 sq cm (c) 28 sq cm (d) 54 sq cm
7. 7.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 10 cm (c) 60 cm (d) 6 cm
8. 8.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 1 cm
9. 9.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 126 sq cm (d) 25 sq cm
10. 10.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 60 cm (c) 19 cm (d) 34 cm
11. 11.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 50 cm (b) 41 cm (c) 25 cm (d) 144 cm
12. 12.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 22 cm (c) 13 cm (d) 24 cm
13. 13.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 19 sq cm (c) 38 sq cm (d) 100 sq cm
14. 14.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 42 sq cm (d) 49 sq cm
15. 15.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 29 cm (b) 18 cm (c) 77 cm (d) 36 cm
16. 16.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 72 sq cm (c) 81 sq cm (d) 17 sq cm
17. 17.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 19 cm (c) 36 cm (d) 38 cm
18. 18.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 42 cm (c) 21 cm (d) 38 cm
19. 19.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 16 sq cm (d) 18 sq cm
20. 20.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 14 sq cm (c) 18 sq cm (d) 21 sq cm
21. 21.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 104 cm
22. 22.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 21 cm (d) 40 cm
23. 23.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 8 cm (c) 7 cm (d) 14 cm
24. 24.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
25. 25.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 76 cm (b) 42 cm (c) 46 cm (d) 23 cm
26. 26.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 170 cm (c) 22 cm (d) 11 cm
27. 27.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 72 cm (b) 44 cm (c) 22 cm (d) 40 cm
28. 28.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
29. 29.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 108 cm
30. 30.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 16 cm (c) 3 cm (d) 4 cm
31. 31.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 49 sq cm (d) 14 sq cm
32. 32.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 21 cm
33. 33.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
34. 34.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 9 cm (d) 18 cm
35. 35.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
36. 36.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 27 cm (c) 15 cm (d) 30 cm
37. 37.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 36 sq cm (d) 45 sq cm
38. 38.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 38 cm (c) 29 cm (d) 19 cm
39. 39.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
40. 40.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 9 cm (c) 112 cm (d) 10 cm

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