Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 505 · 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 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
2. 2.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 5 cm (c) 52 cm (d) 10 cm
3. 3.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 133 sq cm (c) 26 sq cm (d) 52 sq cm
4. 4.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 17 sq cm (b) 65 sq cm (c) 34 sq cm (d) 52 sq cm
5. 5.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 56 sq cm (c) 190 sq cm (d) 28 sq cm
6. 6.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
7. 7.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 42 sq cm (c) 26 sq cm (d) 49 sq cm
8. 8.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 120 sq cm (c) 132 sq cm (d) 22 sq cm
9. 9.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 16 sq cm (c) 10 sq cm (d) 20 sq cm
10. 10.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 57 cm (c) 44 cm (d) 41 cm
11. 11.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 25 sq cm (b) 114 sq cm (c) 133 sq cm (d) 50 sq cm
12. 12.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
13. 13.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 133 cm (c) 8 cm (d) 9 cm
14. 14.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 2 cm (b) 3 cm (c) 5 cm (d) 4 cm
15. 15.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 60 cm (b) 7 cm (c) 12 cm (d) 6 cm
16. 16.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 12 sq cm (d) 8 sq cm
17. 17.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
18. 18.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
19. 19.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 165 cm
20. 20.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 85 cm
21. 21.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 6 cm (c) 12 cm (d) 7 cm
22. 22.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 96 sq cm (d) 108 sq cm
23. 23.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 18 cm
24. 24.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 78 sq cm (c) 65 sq cm (d) 18 sq cm
25. 25.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 136 sq cm (b) 50 sq cm (c) 25 sq cm (d) 153 sq cm
26. 26.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 12 cm (c) 6 cm (d) 7 cm
27. 27.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 10 cm (c) 20 cm (d) 17 cm
28. 28.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 9 cm (c) 88 cm (d) 10 cm
29. 29.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
30. 30.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 25 cm (c) 30 cm (d) 50 cm
31. 31.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
32. 32.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 30 sq cm (d) 36 sq cm
33. 33.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 180 sq cm (d) 165 sq cm
34. 34.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 44 cm (b) 10 cm (c) 6 cm (d) 5 cm
35. 35.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 22 sq cm (c) 26 sq cm (d) 33 sq cm
36. 36.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 14 cm (c) 3 cm (d) 2 cm
37. 37.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 36 cm (b) 23 cm (c) 46 cm (d) 130 cm
38. 38.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 60 sq cm (c) 23 sq cm (d) 46 sq cm
39. 39.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 36 sq cm (b) 84 sq cm (c) 72 sq cm (d) 18 sq cm
40. 40.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 17 sq cm (c) 34 sq cm (d) 72 sq cm

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