Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 818 · 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) 36 sq cm (c) 25 sq cm (d) 20 sq cm
2. 2.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
3. 3.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 38 cm
4. 4.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 14 cm (c) 24 cm (d) 28 cm
5. 5.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 28 cm
6. 6.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 76 sq cm (d) 57 sq cm
7. 7.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
8. 8.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 90 cm
9. 9.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 39 cm
10. 10.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 133 cm (b) 9 cm (c) 16 cm (d) 8 cm
11. 11.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) 7 cm (d) 6 cm
12. 12.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 180 sq cm (d) 200 sq cm
13. 13.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
14. 14.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 28 sq cm (c) 35 sq cm (d) 22 sq cm
15. 15.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
16. 16.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 14 cm (c) 25 cm (d) 28 cm
17. 17.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 88 cm
18. 18.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
19. 19.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 54 cm (d) 24 cm
20. 20.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 42 sq cm (d) 49 sq cm
21. 21.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
22. 22.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
23. 23.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 17 cm (c) 21 cm (d) 10 cm
24. 24.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 15 cm
25. 25.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 27 sq cm (c) 22 sq cm (d) 18 sq cm
26. 26.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 15 sq cm (c) 30 sq cm (d) 56 sq cm
27. 27.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 56 cm (c) 18 cm (d) 36 cm
28. 28.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 11 sq cm (d) 22 sq cm
29. 29.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 32 cm (c) 16 cm (d) 29 cm
30. 30.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 6 cm (c) 40 cm (d) 4 cm
31. 31.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 40 cm (c) 102 cm (d) 23 cm
32. 32.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 56 cm (b) 44 cm (c) 28 cm (d) 192 cm
33. 33.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 80 sq cm (c) 64 sq cm (d) 40 sq cm
34. 34.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 39 cm (d) 112 cm
35. 35.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 68 cm (c) 38 cm (d) 21 cm
36. 36.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 30 cm (c) 6 cm (d) 3 cm
37. 37.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 154 cm (c) 12 cm (d) 13 cm
38. 38.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
39. 39.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 39 cm (d) 154 cm
40. 40.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 22 cm (b) 34 cm (c) 44 cm (d) 120 cm

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