Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 561 · 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) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
2. 2.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 11 cm (c) 180 cm (d) 20 cm
3. 3.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 60 sq cm (c) 19 sq cm (d) 38 sq cm
4. 4.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 2 cm (b) 4 cm (c) 8 cm (d) 3 cm
5. 5.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 8 cm (c) 112 cm (d) 16 cm
6. 6.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 16 cm (d) 10 cm
7. 7.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 30 cm (b) 19 cm (c) 88 cm (d) 38 cm
8. 8.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 54 sq cm (c) 20 sq cm (d) 40 sq cm
9. 9.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 8 cm (c) 105 cm (d) 9 cm
10. 10.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 128 sq cm (d) 48 sq cm
11. 11.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 54 sq cm (c) 14 sq cm (d) 45 sq cm
12. 12.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 40 sq cm (d) 60 sq cm
13. 13.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
14. 14.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 11 cm (c) 12 cm (d) 22 cm
15. 15.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 18 sq cm (d) 11 sq cm
16. 16.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 2 cm (b) 3 cm (c) 12 cm (d) 4 cm
17. 17.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 13 sq cm (c) 49 sq cm (d) 26 sq cm
18. 18.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 16 sq cm (d) 32 sq cm
19. 19.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
20. 20.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 112 cm (b) 23 cm (c) 46 cm (d) 39 cm
21. 21.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 6 cm (c) 5 cm (d) 10 cm
22. 22.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
23. 23.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 7 cm (c) 90 cm (d) 14 cm
24. 24.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 9 cm (c) 18 cm (d) 19 cm
25. 25.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) 162 cm (d) 10 cm
26. 26.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 76 sq cm (b) 95 sq cm (c) 46 sq cm (d) 23 sq cm
27. 27.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 5 cm (c) 68 cm (d) 10 cm
28. 28.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 17 sq cm (c) 34 sq cm (d) 72 sq cm
29. 29.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 8 cm (c) 84 cm (d) 14 cm
30. 30.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
31. 31.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 60 cm (c) 6 cm (d) 10 cm
32. 32.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 27 sq cm (b) 162 sq cm (c) 180 sq cm (d) 54 sq cm
33. 33.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 33 cm (d) 70 cm
34. 34.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 98 cm (c) 8 cm (d) 9 cm
35. 35.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
36. 36.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 11 sq cm (d) 22 sq cm
37. 37.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 160 sq cm (b) 140 sq cm (c) 27 sq cm (d) 54 sq cm
38. 38.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 154 sq cm (c) 25 sq cm (d) 168 sq cm
39. 39.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
40. 40.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 8 cm (d) 12 cm

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