Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 828 · 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 rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 198 cm
2. 2.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
3. 3.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 14 cm (b) 54 cm (c) 7 cm (d) 8 cm
4. 4.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 33 cm (c) 5 cm (d) 4 cm
5. 5.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 55 cm
6. 6.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
7. 7.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 7 cm (c) 8 cm (d) 14 cm
8. 8.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 14 sq cm (c) 21 sq cm (d) 18 sq cm
9. 9.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
10. 10.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
11. 11.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 49 sq cm (d) 12 sq cm
12. 12.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 11 cm (d) 22 cm
13. 13.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 18 sq cm (d) 27 sq cm
14. 14.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 65 sq cm (c) 78 sq cm (d) 36 sq cm
15. 15.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 10 cm
16. 16.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 12 cm (c) 7 cm (d) 6 cm
17. 17.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 98 cm (c) 9 cm (d) 8 cm
18. 18.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 225 sq cm (d) 56 sq cm
19. 19.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 54 sq cm (d) 36 sq cm
20. 20.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 27 sq cm (b) 171 sq cm (c) 152 sq cm (d) 54 sq cm
21. 21.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 15 cm (c) 30 cm (d) 56 cm
22. 22.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
23. 23.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
24. 24.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 48 sq cm (c) 38 sq cm (d) 64 sq cm
25. 25.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 7 cm (c) 60 cm (d) 8 cm
26. 26.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 5 cm (c) 72 cm (d) 6 cm
27. 27.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 58 cm (c) 29 cm (d) 190 cm
28. 28.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 54 cm
29. 29.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 96 cm (d) 32 cm
30. 30.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 18 cm (c) 160 cm (d) 9 cm
31. 31.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 33 sq cm (c) 44 sq cm (d) 14 sq cm
32. 32.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 32 cm (c) 34 cm (d) 30 cm
33. 33.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 24 sq cm (d) 32 sq cm
34. 34.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 15 cm (c) 30 cm (d) 24 cm
35. 35.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 68 sq cm (c) 40 sq cm (d) 51 sq cm
36. 36.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 144 cm (b) 26 cm (c) 44 cm (d) 52 cm
37. 37.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 9 cm (c) 10 cm (d) 18 cm
38. 38.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 180 cm (b) 29 cm (c) 49 cm (d) 58 cm
39. 39.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 57 sq cm (d) 76 sq cm
40. 40.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 7 cm (c) 95 cm (d) 6 cm

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