Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 33 · 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 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 9 cm (c) 16 cm (d) 8 cm
2. 2.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 32 cm (b) 10 cm (c) 6 cm (d) 5 cm
3. 3.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 114 sq cm (d) 133 sq cm
4. 4.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
5. 5.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
6. 6.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 48 cm (b) 10 cm (c) 5 cm (d) 6 cm
7. 7.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 40 sq cm (c) 30 sq cm (d) 26 sq cm
8. 8.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 42 sq cm (c) 13 sq cm (d) 26 sq cm
9. 9.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
10. 10.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 126 cm (b) 43 cm (c) 25 cm (d) 50 cm
11. 11.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 143 sq cm (b) 24 sq cm (c) 48 sq cm (d) 156 sq cm
12. 12.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 154 cm
13. 13.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 10 cm (d) 18 cm
14. 14.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 22 cm (c) 44 cm (d) 112 cm
15. 15.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 90 sq cm (c) 38 sq cm (d) 100 sq cm
16. 16.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 68 cm (c) 5 cm (d) 6 cm
17. 17.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 8 cm
18. 18.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 14 sq cm (c) 48 sq cm (d) 28 sq cm
19. 19.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 60 cm (d) 34 cm
20. 20.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 11 cm (c) 22 cm (d) 12 cm
21. 21.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 16 sq cm (c) 28 sq cm (d) 32 sq cm
22. 22.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 187 sq cm (d) 204 sq cm
23. 23.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 96 cm (b) 20 cm (c) 32 cm (d) 40 cm
24. 24.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 23 cm (b) 42 cm (c) 76 cm (d) 46 cm
25. 25.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 8 cm (c) 5 cm (d) 4 cm
26. 26.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 6 cm (c) 3 cm (d) 4 cm
27. 27.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 119 sq cm (b) 24 sq cm (c) 48 sq cm (d) 136 sq cm
28. 28.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 10 cm (d) 16 cm
29. 29.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 46 sq cm (c) 23 sq cm (d) 132 sq cm
30. 30.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 11 cm (d) 18 cm
31. 31.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 168 cm (d) 40 cm
32. 32.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 76 cm (c) 6 cm (d) 10 cm
33. 33.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 80 cm (c) 10 cm (d) 5 cm
34. 34.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 18 cm (b) 30 cm (c) 72 cm (d) 36 cm
35. 35.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 34 sq cm (c) 81 sq cm (d) 17 sq cm
36. 36.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 18 sq cm (d) 60 sq cm
37. 37.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
38. 38.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 33 cm (c) 45 cm (d) 18 cm
39. 39.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 22 cm (b) 200 cm (c) 12 cm (d) 11 cm
40. 40.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 18 cm

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