Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 614 · 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) 27 cm (b) 5 cm (c) 8 cm (d) 4 cm
2. 2.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 162 cm (b) 20 cm (c) 11 cm (d) 10 cm
3. 3.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 35 cm (c) 12 cm (d) 19 cm
4. 4.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
5. 5.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
6. 6.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 17 sq cm (b) 52 sq cm (c) 65 sq cm (d) 34 sq cm
7. 7.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 20 sq cm (d) 21 sq cm
8. 8.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 27 sq cm (b) 152 sq cm (c) 171 sq cm (d) 54 sq cm
9. 9.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 17 cm (d) 30 cm
10. 10.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 60 sq cm (c) 32 sq cm (d) 16 sq cm
11. 11.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 60 cm (b) 46 cm (c) 43 cm (d) 23 cm
12. 12.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 18 cm (d) 28 cm
13. 13.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 19 sq cm (c) 24 sq cm (d) 18 sq cm
14. 14.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 22 cm (c) 200 cm (d) 11 cm
15. 15.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 23 sq cm (b) 90 sq cm (c) 46 sq cm (d) 108 sq cm
16. 16.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
17. 17.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 84 sq cm (d) 96 sq cm
18. 18.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
19. 19.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 12 cm (c) 13 cm (d) 24 cm
20. 20.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 180 sq cm (b) 56 sq cm (c) 198 sq cm (d) 28 sq cm
21. 21.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 90 cm (c) 46 cm (d) 41 cm
22. 22.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 96 cm (c) 10 cm (d) 9 cm
23. 23.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
24. 24.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 35 sq cm (c) 24 sq cm (d) 42 sq cm
25. 25.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 22 cm (d) 48 cm
26. 26.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 56 sq cm (c) 160 sq cm (d) 28 sq cm
27. 27.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
28. 28.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 76 cm (c) 23 cm (d) 46 cm
29. 29.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 45 cm (c) 33 cm (d) 36 cm
30. 30.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 52 sq cm (b) 182 sq cm (c) 26 sq cm (d) 168 sq cm
31. 31.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 16 cm (c) 60 cm (d) 32 cm
32. 32.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 114 cm (b) 25 cm (c) 50 cm (d) 44 cm
33. 33.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 70 sq cm (b) 84 sq cm (c) 38 sq cm (d) 19 sq cm
34. 34.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 30 cm (c) 3 cm (d) 4 cm
35. 35.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 75 cm (c) 7 cm (d) 12 cm
36. 36.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 50 cm (c) 15 cm (d) 25 cm
37. 37.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 20 cm (c) 108 cm (d) 11 cm
38. 38.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
39. 39.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 34 sq cm (c) 45 sq cm (d) 17 sq cm
40. 40.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 20 cm (d) 18 cm

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