Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 14 · 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 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 5 cm (c) 10 cm (d) 6 cm
2. 2.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
3. 3.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
4. 4.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
5. 5.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 46 cm (b) 126 cm (c) 23 cm (d) 37 cm
6. 6.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 20 cm (c) 26 cm (d) 42 cm
7. 7.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 18 cm (b) 3 cm (c) 6 cm (d) 4 cm
8. 8.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 72 sq cm (c) 17 sq cm (d) 81 sq cm
9. 9.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 90 cm (b) 12 cm (c) 7 cm (d) 6 cm
10. 10.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 28 cm (b) 45 cm (c) 56 cm (d) 187 cm
11. 11.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 48 cm (c) 4 cm (d) 5 cm
12. 12.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 64 sq cm (c) 40 sq cm (d) 20 sq cm
13. 13.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 6 cm (c) 4 cm (d) 3 cm
14. 14.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 12 sq cm (c) 18 sq cm (d) 8 sq cm
15. 15.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 4 cm (c) 2 cm (d) 3 cm
16. 16.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
17. 17.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 256 sq cm (d) 30 sq cm
18. 18.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 20 sq cm (c) 10 sq cm (d) 28 sq cm
19. 19.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 120 cm
20. 20.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 60 cm (c) 12 cm (d) 7 cm
21. 21.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 44 cm (b) 39 cm (c) 22 cm (d) 85 cm
22. 22.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 30 cm (c) 26 cm (d) 23 cm
23. 23.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 24 sq cm (c) 20 sq cm (d) 10 sq cm
24. 24.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 80 sq cm (c) 48 sq cm (d) 100 sq cm
25. 25.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
26. 26.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 24 cm (c) 27 cm (d) 12 cm
27. 27.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 11 cm (c) 12 cm (d) 22 cm
28. 28.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
29. 29.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 60 cm (d) 43 cm
30. 30.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 25 cm (b) 154 cm (c) 39 cm (d) 50 cm
31. 31.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 220 sq cm (d) 200 sq cm
32. 32.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 112 sq cm (d) 128 sq cm
33. 33.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 21 cm (c) 17 cm (d) 20 cm
34. 34.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 176 sq cm (d) 160 sq cm
35. 35.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 78 sq cm (b) 19 sq cm (c) 91 sq cm (d) 38 sq cm
36. 36.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 26 sq cm (b) 152 sq cm (c) 133 sq cm (d) 52 sq cm
37. 37.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 36 sq cm (d) 20 sq cm
38. 38.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 9 cm (c) 18 cm (d) 14 cm
39. 39.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 26 sq cm (c) 30 sq cm (d) 13 sq cm
40. 40.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 48 sq cm (d) 56 sq cm

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