Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 710 · 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) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
2. 2.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 48 cm (c) 44 cm (d) 24 cm
3. 3.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 20 cm (d) 16 cm
4. 4.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 35 cm
5. 5.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) 6 cm (d) 7 cm
6. 6.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 32 cm (c) 12 cm (d) 20 cm
7. 7.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 6 cm (c) 8 cm (d) 4 cm
8. 8.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
9. 9.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 90 sq cm (d) 105 sq cm
10. 10.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
11. 11.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 60 sq cm (c) 30 sq cm (d) 15 sq cm
12. 12.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 23 sq cm (b) 102 sq cm (c) 119 sq cm (d) 46 sq cm
13. 13.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 40 cm (c) 4 cm (d) 6 cm
14. 14.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 24 sq cm (c) 9 sq cm (d) 18 sq cm
15. 15.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 64 sq cm (b) 40 sq cm (c) 80 sq cm (d) 20 sq cm
16. 16.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 104 sq cm (b) 20 sq cm (c) 40 sq cm (d) 91 sq cm
17. 17.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 56 sq cm (d) 196 sq cm
18. 18.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 54 cm (b) 7 cm (c) 14 cm (d) 8 cm
19. 19.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
20. 20.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 221 sq cm (b) 204 sq cm (c) 29 sq cm (d) 58 sq cm
21. 21.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 198 cm (b) 47 cm (c) 29 cm (d) 58 cm
22. 22.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 120 sq cm (b) 23 sq cm (c) 46 sq cm (d) 135 sq cm
23. 23.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 30 sq cm
24. 24.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 75 cm
25. 25.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 12 cm (c) 24 cm (d) 13 cm
26. 26.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 80 cm (b) 12 cm (c) 7 cm (d) 6 cm
27. 27.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 29 sq cm (b) 216 sq cm (c) 58 sq cm (d) 198 sq cm
28. 28.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 162 cm (b) 10 cm (c) 20 cm (d) 11 cm
29. 29.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
30. 30.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 130 cm (c) 11 cm (d) 22 cm
31. 31.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 12 cm (c) 170 cm (d) 22 cm
32. 32.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 78 sq cm (c) 18 sq cm (d) 65 sq cm
33. 33.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 22 cm (c) 24 cm (d) 11 cm
34. 34.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
35. 35.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 15 cm
36. 36.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 169 sq cm (d) 24 sq cm
37. 37.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
38. 38.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
39. 39.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 120 sq cm (c) 26 sq cm (d) 140 sq cm
40. 40.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 68 cm (b) 5 cm (c) 6 cm (d) 10 cm

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