Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 271 · 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 square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 64 sq cm (d) 28 sq cm
2. 2.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 30 cm (c) 17 cm (d) 11 cm
3. 3.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 4 cm (c) 39 cm (d) 8 cm
4. 4.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 21 sq cm (c) 9 sq cm (d) 14 sq cm
5. 5.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 14 cm (b) 102 cm (c) 7 cm (d) 8 cm
6. 6.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 14 cm (c) 48 cm (d) 8 cm
7. 7.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 20 cm (c) 135 cm (d) 10 cm
8. 8.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 40 sq cm (c) 32 sq cm (d) 12 sq cm
9. 9.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 22 cm (c) 150 cm (d) 12 cm
10. 10.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
11. 11.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 180 sq cm (c) 200 sq cm (d) 58 sq cm
12. 12.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 72 cm
13. 13.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 44 sq cm (d) 22 sq cm
14. 14.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 5 cm (c) 57 cm (d) 8 cm
15. 15.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 24 cm (c) 187 cm (d) 12 cm
16. 16.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 100 sq cm (c) 90 sq cm (d) 38 sq cm
17. 17.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 26 cm (c) 13 cm (d) 22 cm
18. 18.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 4 cm (c) 2 cm (d) 3 cm
19. 19.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 5 cm (c) 33 cm (d) 8 cm
20. 20.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 14 sq cm (d) 48 sq cm
21. 21.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
22. 22.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 12 sq cm (d) 18 sq cm
23. 23.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 120 cm
24. 24.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 28 sq cm (c) 45 sq cm (d) 14 sq cm
25. 25.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 24 cm (d) 19 cm
26. 26.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 1 cm (b) 3 cm (c) 2 cm (d) 4 cm
27. 27.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
28. 28.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 46 cm (d) 152 cm
29. 29.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
30. 30.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
31. 31.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 40 sq cm (d) 50 sq cm
32. 32.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
33. 33.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 36 cm (c) 46 cm (d) 23 cm
34. 34.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 65 cm
35. 35.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) 7 cm (d) 114 cm
36. 36.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 46 cm (b) 37 cm (c) 23 cm (d) 126 cm
37. 37.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 32 cm (c) 6 cm (d) 4 cm
38. 38.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 100 sq cm (d) 80 sq cm
39. 39.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 24 cm (c) 14 cm (d) 28 cm
40. 40.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 153 sq cm (d) 170 sq cm

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