Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 735 · 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 144 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 126 cm (c) 16 cm (d) 8 cm
2. 2.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 4 cm (c) 42 cm (d) 5 cm
3. 3.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 43 cm (b) 50 cm (c) 126 cm (d) 25 cm
4. 4.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 21 cm (c) 4 cm (d) 5 cm
5. 5.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 50 cm (c) 25 cm (d) 136 cm
6. 6.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
7. 7.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
8. 8.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 180 cm (b) 49 cm (c) 29 cm (d) 58 cm
9. 9.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm
10. 10.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 18 cm (c) 20 cm (d) 11 cm
11. 11.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 40 cm (c) 13 cm (d) 26 cm
12. 12.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 90 cm (d) 41 cm
13. 13.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 2 cm (c) 7 cm (d) 4 cm
14. 14.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 28 cm (b) 46 cm (c) 180 cm (d) 56 cm
15. 15.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
16. 16.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 21 cm (c) 17 cm (d) 10 cm
17. 17.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 34 cm (c) 66 cm (d) 17 cm
18. 18.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 16 cm (c) 32 cm (d) 28 cm
19. 19.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 16 cm (c) 9 cm (d) 8 cm
20. 20.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
21. 21.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 58 cm (b) 29 cm (c) 48 cm (d) 190 cm
22. 22.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 28 cm (b) 23 cm (c) 45 cm (d) 14 cm
23. 23.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 81 sq cm (d) 72 sq cm
24. 24.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 57 sq cm (b) 22 sq cm (c) 76 sq cm (d) 44 sq cm
25. 25.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
26. 26.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
27. 27.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 6 cm (c) 35 cm (d) 12 cm
28. 28.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 40 cm (d) 24 cm
29. 29.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 112 cm
30. 30.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 4 cm (c) 3 cm (d) 6 cm
31. 31.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 60 sq cm (c) 70 sq cm (d) 32 sq cm
32. 32.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 96 cm (b) 14 cm (c) 8 cm (d) 7 cm
33. 33.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 47 cm (b) 140 cm (c) 54 cm (d) 27 cm
34. 34.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 33 cm (d) 45 cm
35. 35.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 5 cm (c) 8 cm (d) 4 cm
36. 36.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 54 sq cm (b) 36 sq cm (c) 40 sq cm (d) 20 sq cm
37. 37.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 38 sq cm (c) 96 sq cm (d) 19 sq cm
38. 38.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 120 sq cm (c) 108 sq cm (d) 21 sq cm
39. 39.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 20 cm
40. 40.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 60 cm

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