Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 80 · 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 36 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 27 cm
2. 2.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
3. 3.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
4. 4.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 14 sq cm (c) 45 sq cm (d) 28 sq cm
5. 5.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 21 sq cm (d) 10 sq cm
6. 6.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 9 cm (c) 152 cm (d) 10 cm
7. 7.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 31 sq cm (b) 228 sq cm (c) 62 sq cm (d) 247 sq cm
8. 8.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
9. 9.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 11 sq cm (d) 30 sq cm
10. 10.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
11. 11.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 24 sq cm (d) 35 sq cm
12. 12.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 40 sq cm (d) 54 sq cm
13. 13.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 18 cm (c) 9 cm (d) 10 cm
14. 14.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 28 sq cm (b) 180 sq cm (c) 160 sq cm (d) 56 sq cm
15. 15.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 25 cm (b) 144 cm (c) 41 cm (d) 50 cm
16. 16.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
17. 17.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 26 cm (c) 52 cm (d) 144 cm
18. 18.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 135 cm (b) 39 cm (c) 24 cm (d) 48 cm
19. 19.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 80 sq cm (c) 70 sq cm (d) 34 sq cm
20. 20.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 11 cm (c) 135 cm (d) 20 cm
21. 21.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 16 cm
22. 22.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 40 cm (c) 26 cm (d) 21 cm
23. 23.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 33 cm (b) 19 cm (c) 70 cm (d) 38 cm
24. 24.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 75 cm (b) 40 cm (c) 35 cm (d) 20 cm
25. 25.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 6 cm (c) 34 cm (d) 4 cm
26. 26.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
27. 27.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 19 sq cm (d) 24 sq cm
28. 28.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 57 sq cm (c) 76 sq cm (d) 22 sq cm
29. 29.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 40 cm (b) 6 cm (c) 3 cm (d) 4 cm
30. 30.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 65 sq cm (d) 52 sq cm
31. 31.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 28 sq cm (c) 42 sq cm (d) 32 sq cm
32. 32.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 8 cm (c) 54 cm (d) 4 cm
33. 33.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 12 cm (b) 7 cm (c) 55 cm (d) 6 cm
34. 34.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
35. 35.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
36. 36.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 18 cm
37. 37.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 11 cm (d) 19 cm
38. 38.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 36 cm (c) 33 cm (d) 18 cm
39. 39.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 30 sq cm (d) 24 sq cm
40. 40.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 95 sq cm (d) 76 sq cm

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