Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 314 · 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 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 7 cm (c) 8 cm (d) 14 cm
2. 2.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 5 cm (c) 8 cm (d) 4 cm
3. 3.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 22 cm (c) 48 cm (d) 28 cm
4. 4.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 64 cm (c) 36 cm (d) 20 cm
5. 5.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 153 cm (c) 11 cm (d) 20 cm
6. 6.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 20 cm (c) 13 cm (d) 26 cm
7. 7.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 21 cm (c) 24 cm (d) 12 cm
8. 8.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 12 cm (c) 6 cm (d) 7 cm
9. 9.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm
10. 10.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 54 cm (c) 30 cm (d) 24 cm
11. 11.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
12. 12.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 20 cm (b) 11 cm (c) 144 cm (d) 10 cm
13. 13.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
14. 14.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 108 cm
15. 15.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
16. 16.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
17. 17.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 200 sq cm (c) 58 sq cm (d) 180 sq cm
18. 18.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
19. 19.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 27 sq cm (c) 187 sq cm (d) 54 sq cm
20. 20.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
21. 21.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 39 cm (c) 21 cm (d) 54 cm
22. 22.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 60 cm (b) 5 cm (c) 4 cm (d) 8 cm
23. 23.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 3 cm (c) 6 cm (d) 4 cm
24. 24.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 48 cm (b) 95 cm (c) 24 cm (d) 43 cm
25. 25.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 35 cm (d) 19 cm
26. 26.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 144 cm (c) 26 cm (d) 52 cm
27. 27.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 27 sq cm (c) 12 sq cm (d) 36 sq cm
28. 28.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 22 cm (c) 11 cm (d) 12 cm
29. 29.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 22 cm (c) 190 cm (d) 12 cm
30. 30.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 48 sq cm (c) 40 sq cm (d) 13 sq cm
31. 31.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 39 sq cm (c) 30 sq cm (d) 15 sq cm
32. 32.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 72 sq cm (c) 81 sq cm (d) 17 sq cm
33. 33.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 20 cm (c) 75 cm (d) 35 cm
34. 34.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 32 cm (d) 16 cm
35. 35.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 84 cm (b) 8 cm (c) 16 cm (d) 9 cm
36. 36.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 136 cm
37. 37.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 50 cm (b) 7 cm (c) 12 cm (d) 6 cm
38. 38.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 30 sq cm (c) 24 sq cm (d) 20 sq cm
39. 39.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 135 sq cm (d) 150 sq cm
40. 40.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 75 cm (c) 6 cm (d) 7 cm

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