Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 88 · 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 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
2. 2.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 30 cm (c) 50 cm (d) 15 cm
3. 3.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 40 sq cm (c) 28 sq cm (d) 14 sq cm
4. 4.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
5. 5.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 30 cm (d) 22 cm
6. 6.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 63 sq cm (c) 15 sq cm (d) 54 sq cm
7. 7.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 11 cm (c) 135 cm (d) 10 cm
8. 8.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 105 sq cm (d) 120 sq cm
9. 9.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 2 cm (b) 4 cm (c) 11 cm (d) 3 cm
10. 10.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
11. 11.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 33 cm (b) 108 cm (c) 42 cm (d) 21 cm
12. 12.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 24 cm (c) 4 cm (d) 3 cm
13. 13.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
14. 14.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 60 sq cm (d) 45 sq cm
15. 15.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 180 cm (b) 49 cm (c) 58 cm (d) 29 cm
16. 16.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 8 cm (c) 21 cm (d) 4 cm
17. 17.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 21 sq cm (b) 98 sq cm (c) 42 sq cm (d) 112 sq cm
18. 18.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 26 sq cm (d) 169 sq cm
19. 19.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
20. 20.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 23 sq cm (c) 80 sq cm (d) 46 sq cm
21. 21.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 24 cm (c) 12 cm (d) 13 cm
22. 22.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 112 sq cm (d) 96 sq cm
23. 23.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
24. 24.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 19 cm (d) 11 cm
25. 25.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 60 sq cm (c) 30 sq cm (d) 50 sq cm
26. 26.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 16 sq cm (c) 32 sq cm (d) 60 sq cm
27. 27.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 72 sq cm (d) 81 sq cm
28. 28.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 24 cm (c) 13 cm (d) 12 cm
29. 29.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 114 cm (b) 25 cm (c) 44 cm (d) 50 cm
30. 30.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 14 cm (c) 8 cm (d) 7 cm
31. 31.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 2 cm (c) 18 cm (d) 3 cm
32. 32.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 15 cm (c) 54 cm (d) 30 cm
33. 33.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 225 sq cm (d) 56 sq cm
34. 34.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 26 cm (b) 3 cm (c) 4 cm (d) 6 cm
35. 35.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 9 cm (c) 14 cm (d) 18 cm
36. 36.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 26 sq cm (c) 13 sq cm (d) 40 sq cm
37. 37.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 32 sq cm (c) 63 sq cm (d) 16 sq cm
38. 38.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 12 cm (c) 24 cm (d) 20 cm
39. 39.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 171 cm
40. 40.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 140 cm (b) 48 cm (c) 24 cm (d) 38 cm

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