Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 629 · 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 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
2. 2.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 48 cm (b) 6 cm (c) 5 cm (d) 10 cm
3. 3.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 6 cm (c) 40 cm (d) 5 cm
4. 4.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 6 cm (c) 100 cm (d) 7 cm
5. 5.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 52 cm (c) 17 cm (d) 30 cm
6. 6.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 9 cm
7. 7.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 128 sq cm (c) 46 sq cm (d) 23 sq cm
8. 8.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 11 cm (c) 22 cm (d) 12 cm
9. 9.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 9 cm (c) 18 cm (d) 10 cm
10. 10.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 50 sq cm (d) 40 sq cm
11. 11.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 95 sq cm (c) 24 sq cm (d) 114 sq cm
12. 12.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 120 cm (c) 8 cm (d) 7 cm
13. 13.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 13 sq cm (d) 42 sq cm
14. 14.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 48 cm (d) 14 cm
15. 15.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 20 cm (d) 10 cm
16. 16.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
17. 17.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 180 sq cm (d) 200 sq cm
18. 18.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 162 cm (b) 45 cm (c) 54 cm (d) 27 cm
19. 19.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 60 cm (b) 8 cm (c) 5 cm (d) 4 cm
20. 20.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
21. 21.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 4 cm (c) 3 cm (d) 2 cm
22. 22.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 32 cm (c) 36 cm (d) 34 cm
23. 23.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
24. 24.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 15 cm (c) 8 cm (d) 4 cm
25. 25.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 29 cm (b) 48 cm (c) 190 cm (d) 58 cm
26. 26.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 77 cm (c) 8 cm (d) 9 cm
27. 27.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 156 sq cm (b) 169 sq cm (c) 50 sq cm (d) 25 sq cm
28. 28.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 36 sq cm (c) 15 sq cm (d) 30 sq cm
29. 29.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
30. 30.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 26 sq cm (c) 13 sq cm (d) 22 sq cm
31. 31.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 120 cm (c) 23 cm (d) 46 cm
32. 32.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
33. 33.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 9 cm (c) 10 cm (d) 18 cm
34. 34.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 70 cm
35. 35.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 1 cm
36. 36.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 27 sq cm (b) 192 sq cm (c) 176 sq cm (d) 54 sq cm
37. 37.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
38. 38.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 102 cm (b) 23 cm (c) 46 cm (d) 40 cm
39. 39.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 24 sq cm (c) 32 sq cm (d) 11 sq cm
40. 40.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 120 cm

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