Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 764 · 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 24 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 18 cm
2. 2.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 8 cm (c) 21 cm (d) 4 cm
3. 3.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
4. 4.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 30 sq cm (d) 40 sq cm
5. 5.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 22 cm (d) 11 cm
6. 6.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
7. 7.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
8. 8.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 77 sq cm (d) 66 sq cm
9. 9.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 21 cm (d) 40 cm
10. 10.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 64 cm (b) 6 cm (c) 10 cm (d) 5 cm
11. 11.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 110 sq cm (b) 121 sq cm (c) 42 sq cm (d) 21 sq cm
12. 12.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 24 cm (c) 12 cm (d) 13 cm
13. 13.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
14. 14.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 16 sq cm (c) 24 sq cm (d) 20 sq cm
15. 15.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
16. 16.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 80 sq cm (d) 90 sq cm
17. 17.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 57 sq cm (c) 44 sq cm (d) 76 sq cm
18. 18.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 56 sq cm (c) 28 sq cm (d) 14 sq cm
19. 19.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 160 sq cm (d) 180 sq cm
20. 20.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
21. 21.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 26 cm (b) 165 cm (c) 52 cm (d) 41 cm
22. 22.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 14 cm (d) 28 cm
23. 23.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 23 sq cm (c) 46 sq cm (d) 128 sq cm
24. 24.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 32 sq cm (d) 48 sq cm
25. 25.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 62 cm (b) 31 cm (c) 50 cm (d) 228 cm
26. 26.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 10 sq cm (d) 24 sq cm
27. 27.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 42 sq cm (c) 21 sq cm (d) 104 sq cm
28. 28.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 5 cm (c) 44 cm (d) 6 cm
29. 29.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
30. 30.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 104 cm (b) 21 cm (c) 42 cm (d) 34 cm
31. 31.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 168 cm (b) 40 cm (c) 26 cm (d) 52 cm
32. 32.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 136 cm (b) 42 cm (c) 50 cm (d) 25 cm
33. 33.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 27 cm
34. 34.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 9 cm (c) 16 cm (d) 8 cm
35. 35.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 54 cm (c) 180 cm (d) 27 cm
36. 36.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
37. 37.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 12 sq cm (d) 8 sq cm
38. 38.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 30 sq cm (c) 45 sq cm (d) 34 sq cm
39. 39.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
40. 40.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 21 cm (b) 35 cm (c) 42 cm (d) 98 cm

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