Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 480 · 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 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 28 cm
2. 2.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 8 cm (c) 7 cm (d) 14 cm
3. 3.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 6 cm (c) 7 cm (d) 12 cm
4. 4.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 153 cm
5. 5.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 133 cm
6. 6.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 180 sq cm (c) 26 sq cm (d) 165 sq cm
7. 7.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
8. 8.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 16 sq cm (d) 24 sq cm
9. 9.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 12 cm (c) 4 cm (d) 3 cm
10. 10.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 12 cm (c) 190 cm (d) 11 cm
11. 11.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 135 sq cm (b) 48 sq cm (c) 150 sq cm (d) 24 sq cm
12. 12.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
13. 13.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 32 cm (b) 42 cm (c) 110 cm (d) 21 cm
14. 14.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 9 sq cm (c) 18 sq cm (d) 24 sq cm
15. 15.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 46 cm (c) 52 cm (d) 120 cm
16. 16.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 30 cm (b) 200 cm (c) 60 cm (d) 50 cm
17. 17.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 72 sq cm (d) 54 sq cm
18. 18.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
19. 19.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 13 cm (c) 165 cm (d) 12 cm
20. 20.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 38 cm (b) 6 cm (c) 3 cm (d) 4 cm
21. 21.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
22. 22.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 135 cm (c) 20 cm (d) 10 cm
23. 23.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 60 sq cm (d) 48 sq cm
24. 24.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 15 cm (c) 30 cm (d) 54 cm
25. 25.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
26. 26.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 48 cm (c) 28 cm (d) 14 cm
27. 27.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 22 cm (d) 13 cm
28. 28.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 133 sq cm (b) 50 sq cm (c) 25 sq cm (d) 114 sq cm
29. 29.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 39 cm (c) 54 cm (d) 42 cm
30. 30.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
31. 31.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 25 cm (b) 154 cm (c) 50 cm (d) 39 cm
32. 32.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 21 sq cm (d) 14 sq cm
33. 33.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 12 sq cm (d) 30 sq cm
34. 34.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 16 cm (b) 9 cm (c) 70 cm (d) 8 cm
35. 35.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 8 cm (c) 4 cm (d) 6 cm
36. 36.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 41 cm (c) 119 cm (d) 48 cm
37. 37.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 60 cm (c) 8 cm (d) 7 cm
38. 38.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 34 cm (c) 60 cm (d) 19 cm
39. 39.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 36 sq cm (d) 20 sq cm
40. 40.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 15 cm (c) 27 cm (d) 30 cm

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