Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 120 · 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 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
2. 2.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 11 cm (c) 120 cm (d) 12 cm
3. 3.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 130 cm (c) 23 cm (d) 36 cm
4. 4.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 65 cm (c) 12 cm (d) 7 cm
5. 5.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 22 cm (d) 14 cm
6. 6.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 26 cm (c) 36 cm (d) 13 cm
7. 7.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 22 sq cm (b) 112 sq cm (c) 126 sq cm (d) 44 sq cm
8. 8.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
9. 9.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
10. 10.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 12 cm (b) 35 cm (c) 7 cm (d) 6 cm
11. 11.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
12. 12.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 144 cm
13. 13.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 18 cm
14. 14.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 14 cm (c) 60 cm (d) 8 cm
15. 15.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 38 sq cm (c) 19 sq cm (d) 51 sq cm
16. 16.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 64 cm (b) 6 cm (c) 10 cm (d) 5 cm
17. 17.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 150 cm (d) 40 cm
18. 18.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 33 cm (c) 25 cm (d) 14 cm
19. 19.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
20. 20.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 80 cm
21. 21.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 22 cm (c) 170 cm (d) 12 cm
22. 22.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 88 cm
23. 23.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 44 cm (d) 80 cm
24. 24.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 38 cm (c) 156 cm (d) 25 cm
25. 25.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 30 cm (c) 26 cm (d) 15 cm
26. 26.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 154 sq cm (b) 168 sq cm (c) 25 sq cm (d) 50 sq cm
27. 27.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 16 cm (c) 63 cm (d) 32 cm
28. 28.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 22 cm (c) 4 cm (d) 6 cm
29. 29.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
30. 30.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 180 sq cm (d) 200 sq cm
31. 31.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 39 cm (b) 8 cm (c) 5 cm (d) 4 cm
32. 32.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 150 cm (c) 12 cm (d) 11 cm
33. 33.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 88 sq cm (b) 18 sq cm (c) 36 sq cm (d) 77 sq cm
34. 34.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 150 sq cm (d) 135 sq cm
35. 35.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 30 cm
36. 36.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 4 cm (c) 5 cm (d) 8 cm
37. 37.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 104 sq cm (d) 117 sq cm
38. 38.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 10 cm (c) 18 cm (d) 9 cm
39. 39.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 45 cm (c) 4 cm (d) 8 cm
40. 40.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm

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