Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 308 · 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) 196 sq cm (c) 26 sq cm (d) 169 sq cm
2. 2.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 50 sq cm (b) 150 sq cm (c) 165 sq cm (d) 25 sq cm
3. 3.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 6 cm (c) 4 cm (d) 3 cm
4. 4.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 32 sq cm (c) 24 sq cm (d) 40 sq cm
5. 5.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 15 cm (c) 18 cm (d) 19 cm
6. 6.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 40 cm
7. 7.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 50 cm (c) 6 cm (d) 12 cm
8. 8.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 22 cm (c) 190 cm (d) 11 cm
9. 9.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 4 cm (c) 3 cm (d) 2 cm
10. 10.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 40 sq cm (c) 22 sq cm (d) 60 sq cm
11. 11.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 96 cm
12. 12.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 20 sq cm (d) 40 sq cm
13. 13.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 42 cm
14. 14.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 37 cm (c) 44 cm (d) 22 cm
15. 15.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
16. 16.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 45 sq cm (d) 54 sq cm
17. 17.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 77 cm (d) 29 cm
18. 18.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 9 cm (d) 18 cm
19. 19.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 10 cm
20. 20.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 104 sq cm (c) 21 sq cm (d) 42 sq cm
21. 21.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 25 cm (b) 114 cm (c) 50 cm (d) 44 cm
22. 22.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 63 cm (d) 25 cm
23. 23.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
24. 24.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 85 cm (c) 7 cm (d) 6 cm
25. 25.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 136 cm
26. 26.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
27. 27.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 14 cm (b) 8 cm (c) 102 cm (d) 7 cm
28. 28.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
29. 29.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 40 cm
30. 30.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
31. 31.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 221 sq cm (d) 204 sq cm
32. 32.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
33. 33.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
34. 34.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 32 cm (b) 6 cm (c) 5 cm (d) 10 cm
35. 35.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 56 sq cm (d) 48 sq cm
36. 36.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 15 sq cm (c) 56 sq cm (d) 30 sq cm
37. 37.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 14 sq cm (d) 21 sq cm
38. 38.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 22 cm (c) 28 cm (d) 14 cm
39. 39.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 128 sq cm
40. 40.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 30 cm (c) 15 cm (d) 25 cm

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