Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 117 · 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) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
2. 2.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
3. 3.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 36 cm (c) 80 cm (d) 18 cm
4. 4.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 114 sq cm (c) 95 sq cm (d) 48 sq cm
5. 5.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
6. 6.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 16 cm (c) 6 cm (d) 4 cm
7. 7.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
8. 8.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 13 cm (c) 187 cm (d) 24 cm
9. 9.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 72 sq cm (d) 60 sq cm
10. 10.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
11. 11.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 176 cm
12. 12.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) 21 cm (d) 8 cm
13. 13.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 12 cm (c) 85 cm (d) 7 cm
14. 14.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 3 cm (c) 2 cm (d) 4 cm
15. 15.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 4 cm (c) 2 cm (d) 3 cm
16. 16.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 119 sq cm (b) 46 sq cm (c) 23 sq cm (d) 102 sq cm
17. 17.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 4 cm (c) 3 cm (d) 2 cm
18. 18.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 32 sq cm (c) 24 sq cm (d) 12 sq cm
19. 19.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 4 cm (c) 54 cm (d) 5 cm
20. 20.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 11 cm (d) 22 cm
21. 21.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 30 sq cm (c) 54 sq cm (d) 15 sq cm
22. 22.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 23 sq cm (b) 108 sq cm (c) 90 sq cm (d) 46 sq cm
23. 23.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
24. 24.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 21 sq cm (d) 18 sq cm
25. 25.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 11 cm (c) 190 cm (d) 12 cm
26. 26.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 38 cm (c) 19 cm (d) 33 cm
27. 27.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 64 cm
28. 28.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 180 cm (c) 22 cm (d) 12 cm
29. 29.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 42 sq cm (c) 21 sq cm (d) 110 sq cm
30. 30.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 18 cm (c) 88 cm (d) 9 cm
31. 31.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 117 sq cm (c) 104 sq cm (d) 42 sq cm
32. 32.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 52 cm (b) 160 cm (c) 42 cm (d) 26 cm
33. 33.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 80 sq cm (d) 60 sq cm
34. 34.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
35. 35.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 45 cm (c) 6 cm (d) 12 cm
36. 36.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 36 sq cm (d) 24 sq cm
37. 37.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
38. 38.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 3 cm (c) 14 cm (d) 6 cm
39. 39.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
40. 40.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 16 cm (b) 60 cm (c) 26 cm (d) 32 cm

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