Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 121 · 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 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
2. 2.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 128 sq cm (b) 23 sq cm (c) 112 sq cm (d) 46 sq cm
3. 3.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
4. 4.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 180 cm (b) 46 cm (c) 28 cm (d) 56 cm
5. 5.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 18 cm (c) 10 cm (d) 9 cm
6. 6.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 14 sq cm (c) 28 sq cm (d) 56 sq cm
7. 7.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 22 cm (c) 130 cm (d) 11 cm
8. 8.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 12 cm (c) 198 cm (d) 13 cm
9. 9.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 26 sq cm (c) 49 sq cm (d) 13 sq cm
10. 10.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 108 cm
11. 11.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 12 cm (c) 22 cm (d) 11 cm
12. 12.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 60 sq cm (d) 30 sq cm
13. 13.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 65 cm (b) 12 cm (c) 7 cm (d) 6 cm
14. 14.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 32 sq cm (c) 12 sq cm (d) 24 sq cm
15. 15.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 30 cm (c) 15 cm (d) 24 cm
16. 16.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 31 cm (d) 84 cm
17. 17.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
18. 18.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
19. 19.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 2 cm (b) 3 cm (c) 17 cm (d) 4 cm
20. 20.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 6 cm (c) 4 cm (d) 3 cm
21. 21.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 5 cm (c) 24 cm (d) 4 cm
22. 22.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 31 sq cm (b) 62 sq cm (c) 228 sq cm (d) 247 sq cm
23. 23.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 11 cm (c) 12 cm (d) 22 cm
24. 24.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 144 sq cm (b) 126 sq cm (c) 50 sq cm (d) 25 sq cm
25. 25.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 44 cm (d) 80 cm
26. 26.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
27. 27.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 11 cm (c) 150 cm (d) 12 cm
28. 28.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 46 cm (c) 102 cm (d) 23 cm
29. 29.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 48 cm (c) 35 cm (d) 38 cm
30. 30.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
31. 31.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 8 cm (c) 30 cm (d) 4 cm
32. 32.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 43 cm (b) 23 cm (c) 46 cm (d) 60 cm
33. 33.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 30 cm
34. 34.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 22 sq cm (c) 117 sq cm (d) 44 sq cm
35. 35.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 54 sq cm (d) 40 sq cm
36. 36.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 12 cm (c) 24 cm (d) 19 cm
37. 37.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 80 cm (c) 28 cm (d) 36 cm
38. 38.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 22 cm (b) 35 cm (c) 44 cm (d) 117 cm
39. 39.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 21 sq cm (d) 14 sq cm
40. 40.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 66 sq cm (b) 55 sq cm (c) 16 sq cm (d) 32 sq cm

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