Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 360 · 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 rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 6 cm (c) 20 cm (d) 4 cm
2. 2.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
3. 3.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 3 cm (c) 1 cm (d) 4 cm
4. 4.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 64 sq cm (c) 56 sq cm (d) 30 sq cm
5. 5.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
6. 6.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 52 cm (b) 144 cm (c) 26 cm (d) 44 cm
7. 7.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 133 cm (c) 16 cm (d) 8 cm
8. 8.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 36 cm (c) 6 cm (d) 4 cm
9. 9.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 90 cm (c) 6 cm (d) 7 cm
10. 10.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 121 sq cm (c) 42 sq cm (d) 110 sq cm
11. 11.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 26 cm (d) 36 cm
12. 12.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 65 cm (d) 31 cm
13. 13.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 132 sq cm (b) 23 sq cm (c) 144 sq cm (d) 46 sq cm
14. 14.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 25 cm (b) 144 cm (c) 50 cm (d) 41 cm
15. 15.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 108 cm
16. 16.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 20 cm (c) 126 cm (d) 10 cm
17. 17.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 102 cm (b) 40 cm (c) 46 cm (d) 23 cm
18. 18.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 32 cm (c) 110 cm (d) 42 cm
19. 19.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 42 cm (c) 104 cm (d) 21 cm
20. 20.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 36 sq cm (c) 18 sq cm (d) 65 sq cm
21. 21.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
22. 22.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 33 sq cm (c) 14 sq cm (d) 44 sq cm
23. 23.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 66 sq cm (c) 34 sq cm (d) 17 sq cm
24. 24.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
25. 25.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 162 sq cm (b) 26 sq cm (c) 52 sq cm (d) 144 sq cm
26. 26.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 28 sq cm (c) 14 sq cm (d) 56 sq cm
27. 27.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 12 cm (d) 8 cm
28. 28.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 162 cm (b) 27 cm (c) 45 cm (d) 54 cm
29. 29.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 100 sq cm (d) 40 sq cm
30. 30.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 13 sq cm (c) 22 sq cm (d) 26 sq cm
31. 31.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 120 sq cm (d) 140 sq cm
32. 32.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
33. 33.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 12 sq cm (d) 40 sq cm
34. 34.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
35. 35.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 44 cm (b) 85 cm (c) 39 cm (d) 22 cm
36. 36.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 24 cm
37. 37.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 30 sq cm (d) 26 sq cm
38. 38.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 20 sq cm (c) 99 sq cm (d) 40 sq cm
39. 39.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 27 sq cm
40. 40.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 114 cm (c) 14 cm (d) 7 cm

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