Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 682 · 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 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 8 cm (c) 16 cm (d) 9 cm
2. 2.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 76 sq cm (b) 22 sq cm (c) 44 sq cm (d) 57 sq cm
3. 3.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 63 cm (c) 25 cm (d) 32 cm
4. 4.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 143 cm
5. 5.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
6. 6.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 204 sq cm (b) 58 sq cm (c) 29 sq cm (d) 221 sq cm
7. 7.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 25 cm (c) 15 cm (d) 50 cm
8. 8.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
9. 9.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 165 cm
10. 10.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 16 cm (c) 77 cm (d) 9 cm
11. 11.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 160 cm
12. 12.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 17 sq cm (b) 77 sq cm (c) 66 sq cm (d) 34 sq cm
13. 13.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 22 cm (d) 30 cm
14. 14.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 10 sq cm (d) 20 sq cm
15. 15.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 14 sq cm (d) 18 sq cm
16. 16.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 42 cm
17. 17.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 49 sq cm (d) 42 sq cm
18. 18.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 22 sq cm (c) 26 sq cm (d) 13 sq cm
19. 19.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 84 sq cm (c) 38 sq cm (d) 96 sq cm
20. 20.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 60 cm (d) 43 cm
21. 21.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 25 cm (b) 154 cm (c) 50 cm (d) 39 cm
22. 22.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 42 sq cm (c) 96 sq cm (d) 21 sq cm
23. 23.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
24. 24.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 90 cm (c) 38 cm (d) 19 cm
25. 25.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 154 sq cm (d) 168 sq cm
26. 26.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 16 cm (d) 18 cm
27. 27.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 54 sq cm (c) 30 sq cm (d) 15 sq cm
28. 28.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 24 cm (d) 10 cm
29. 29.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
30. 30.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 9 cm (c) 104 cm (d) 10 cm
31. 31.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 170 sq cm (b) 26 sq cm (c) 52 sq cm (d) 153 sq cm
32. 32.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 14 sq cm (d) 28 sq cm
33. 33.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 133 sq cm (d) 114 sq cm
34. 34.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
35. 35.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 21 cm (c) 13 cm (d) 40 cm
36. 36.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 95 cm
37. 37.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 72 cm (c) 14 cm (d) 7 cm
38. 38.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 26 cm (d) 72 cm
39. 39.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 154 sq cm (c) 24 sq cm (d) 140 sq cm
40. 40.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 17 cm

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