Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 115 · 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 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
2. 2.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 14 cm
3. 3.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 180 sq cm (b) 195 sq cm (c) 54 sq cm (d) 27 sq cm
4. 4.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 25 sq cm (b) 150 sq cm (c) 165 sq cm (d) 50 sq cm
5. 5.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 162 cm
6. 6.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 56 cm (b) 36 cm (c) 18 cm (d) 32 cm
7. 7.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
8. 8.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 112 sq cm (d) 128 sq cm
9. 9.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 95 cm (c) 6 cm (d) 7 cm
10. 10.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 88 cm (c) 10 cm (d) 9 cm
11. 11.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
12. 12.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 75 cm (c) 12 cm (d) 6 cm
13. 13.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 16 cm (d) 14 cm
14. 14.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 50 cm (c) 100 cm (d) 25 cm
15. 15.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 2 cm (c) 20 cm (d) 4 cm
16. 16.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 16 cm (c) 84 cm (d) 8 cm
17. 17.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 40 cm (c) 26 cm (d) 13 cm
18. 18.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 60 cm (b) 46 cm (c) 23 cm (d) 43 cm
19. 19.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 16 cm (d) 24 cm
20. 20.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 120 cm
21. 21.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 60 sq cm (d) 30 sq cm
22. 22.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 12 sq cm
23. 23.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 54 sq cm (c) 170 sq cm (d) 27 sq cm
24. 24.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 50 sq cm (c) 100 sq cm (d) 25 sq cm
25. 25.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 28 cm (b) 5 cm (c) 10 cm (d) 6 cm
26. 26.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 50 cm
27. 27.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 120 cm (c) 14 cm (d) 7 cm
28. 28.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 119 cm (c) 8 cm (d) 9 cm
29. 29.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
30. 30.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 110 sq cm (c) 20 sq cm (d) 40 sq cm
31. 31.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 91 cm (c) 16 cm (d) 8 cm
32. 32.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 120 sq cm (c) 52 sq cm (d) 26 sq cm
33. 33.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
34. 34.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 40 cm (b) 99 cm (c) 31 cm (d) 20 cm
35. 35.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 120 cm (b) 18 cm (c) 10 cm (d) 9 cm
36. 36.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 49 cm (d) 209 cm
37. 37.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 52 cm (c) 30 cm (d) 17 cm
38. 38.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 22 sq cm (d) 11 sq cm
39. 39.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 16 sq cm (c) 60 sq cm (d) 32 sq cm
40. 40.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 51 sq cm (c) 68 sq cm (d) 20 sq cm

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