Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 260 · 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 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
2. 2.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 16 cm (d) 10 cm
3. 3.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 152 cm (b) 27 cm (c) 46 cm (d) 54 cm
4. 4.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
5. 5.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 108 sq cm (c) 96 sq cm (d) 40 sq cm
6. 6.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 37 cm (d) 143 cm
7. 7.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
8. 8.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 60 cm (b) 5 cm (c) 6 cm (d) 10 cm
9. 9.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 32 cm (c) 5 cm (d) 6 cm
10. 10.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 25 sq cm (b) 136 sq cm (c) 153 sq cm (d) 50 sq cm
11. 11.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 9 sq cm (d) 18 sq cm
12. 12.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 39 cm (d) 85 cm
13. 13.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
14. 14.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 20 sq cm (b) 104 sq cm (c) 40 sq cm (d) 91 sq cm
15. 15.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 114 cm (c) 7 cm (d) 8 cm
16. 16.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 40 cm
17. 17.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 42 cm (c) 38 cm (d) 21 cm
18. 18.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 187 sq cm (c) 56 sq cm (d) 204 sq cm
19. 19.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 56 sq cm (d) 196 sq cm
20. 20.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 108 cm (c) 10 cm (d) 20 cm
21. 21.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 28 sq cm (c) 40 sq cm (d) 14 sq cm
22. 22.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 42 cm
23. 23.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
24. 24.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
25. 25.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
26. 26.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 18 cm
27. 27.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) 24 cm (d) 3 cm
28. 28.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 25 cm (c) 50 cm (d) 154 cm
29. 29.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 16 cm (c) 28 cm (d) 32 cm
30. 30.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 45 cm (c) 26 cm (d) 52 cm
31. 31.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 52 cm (b) 6 cm (c) 10 cm (d) 5 cm
32. 32.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 140 cm
33. 33.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 24 sq cm (c) 9 sq cm (d) 19 sq cm
34. 34.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 18 cm (c) 144 cm (d) 10 cm
35. 35.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 21 sq cm (d) 20 sq cm
36. 36.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 162 cm
37. 37.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 5 cm (c) 4 cm (d) 8 cm
38. 38.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 104 cm (c) 18 cm (d) 9 cm
39. 39.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 60 sq cm (b) 16 sq cm (c) 32 sq cm (d) 70 sq cm
40. 40.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 8 cm (c) 7 cm (d) 14 cm

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