Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 125 · 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 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
2. 2.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 200 sq cm (b) 60 sq cm (c) 30 sq cm (d) 220 sq cm
3. 3.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
4. 4.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 30 cm (c) 3 cm (d) 4 cm
5. 5.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
6. 6.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 55 cm
7. 7.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 112 sq cm (c) 22 sq cm (d) 44 sq cm
8. 8.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 50 sq cm (d) 60 sq cm
9. 9.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 35 cm (d) 12 cm
10. 10.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
11. 11.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 200 cm (c) 11 cm (d) 22 cm
12. 12.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 16 sq cm (c) 24 sq cm (d) 10 sq cm
13. 13.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 60 cm (c) 30 cm (d) 49 cm
14. 14.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 19 cm (b) 29 cm (c) 38 cm (d) 90 cm
15. 15.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 30 cm (c) 17 cm (d) 22 cm
16. 16.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 44 sq cm (c) 30 sq cm (d) 15 sq cm
17. 17.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 126 sq cm (b) 108 sq cm (c) 48 sq cm (d) 24 sq cm
18. 18.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 80 cm (b) 10 cm (c) 5 cm (d) 6 cm
19. 19.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 26 sq cm (b) 144 sq cm (c) 52 sq cm (d) 162 sq cm
20. 20.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 176 cm (b) 43 cm (c) 27 cm (d) 54 cm
21. 21.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 24 cm (c) 13 cm (d) 12 cm
22. 22.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 72 sq cm (c) 90 sq cm (d) 44 sq cm
23. 23.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 16 cm (d) 14 cm
24. 24.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 57 cm (d) 41 cm
25. 25.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
26. 26.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 4 cm (c) 16 cm (d) 6 cm
27. 27.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
28. 28.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 112 cm (c) 46 cm (d) 39 cm
29. 29.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 3 cm (c) 4 cm (d) 2 cm
30. 30.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 54 cm
31. 31.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
32. 32.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 10 cm (d) 2 cm
33. 33.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 17 sq cm (c) 34 sq cm (d) 70 sq cm
34. 34.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 10 sq cm (d) 20 sq cm
35. 35.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 56 cm (d) 160 cm
36. 36.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 70 cm
37. 37.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 20 cm (c) 84 cm (d) 40 cm
38. 38.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 21 cm (c) 40 cm (d) 13 cm
39. 39.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 198 sq cm (d) 180 sq cm
40. 40.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 9 cm (c) 98 cm (d) 8 cm

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