Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 899 · 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) 100 sq cm (c) 18 sq cm (d) 36 sq cm
2. 2.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 70 cm (b) 12 cm (c) 6 cm (d) 7 cm
3. 3.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 30 sq cm (c) 22 sq cm (d) 36 sq cm
4. 4.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 40 sq cm (d) 50 sq cm
5. 5.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
6. 6.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 114 sq cm (c) 24 sq cm (d) 95 sq cm
7. 7.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 6 cm (c) 3 cm (d) 4 cm
8. 8.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 5 cm (c) 2 cm (d) 3 cm
9. 9.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 108 cm (c) 7 cm (d) 8 cm
10. 10.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 18 cm (c) 10 cm (d) 9 cm
11. 11.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 133 sq cm (d) 152 sq cm
12. 12.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 80 cm
13. 13.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
14. 14.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 56 cm (c) 28 cm (d) 160 cm
15. 15.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 8 cm (c) 112 cm (d) 16 cm
16. 16.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 5 cm (c) 32 cm (d) 6 cm
17. 17.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 4 cm (c) 51 cm (d) 8 cm
18. 18.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 130 sq cm (b) 46 sq cm (c) 23 sq cm (d) 143 sq cm
19. 19.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 162 sq cm (d) 180 sq cm
20. 20.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 153 cm
21. 21.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 30 sq cm (c) 26 sq cm (d) 13 sq cm
22. 22.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 190 sq cm (c) 209 sq cm (d) 29 sq cm
23. 23.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 56 cm (c) 30 cm (d) 15 cm
24. 24.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 160 cm (c) 11 cm (d) 12 cm
25. 25.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 16 sq cm
26. 26.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
27. 27.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 13 sq cm (c) 26 sq cm (d) 49 sq cm
28. 28.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
29. 29.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 40 sq cm (b) 84 sq cm (c) 20 sq cm (d) 98 sq cm
30. 30.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 48 sq cm (b) 128 sq cm (c) 24 sq cm (d) 144 sq cm
31. 31.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 170 cm (c) 22 cm (d) 11 cm
32. 32.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 7 cm (c) 8 cm (d) 14 cm
33. 33.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 7 cm (c) 80 cm (d) 6 cm
34. 34.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 12 cm (c) 24 cm (d) 21 cm
35. 35.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 72 cm (c) 18 cm (d) 30 cm
36. 36.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 3 cm (c) 2 cm (d) 4 cm
37. 37.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 42 cm (c) 4 cm (d) 8 cm
38. 38.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 12 sq cm (c) 20 sq cm (d) 24 sq cm
39. 39.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 68 sq cm (c) 42 sq cm (d) 85 sq cm
40. 40.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 169 sq cm (d) 52 sq cm

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