Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 787 · 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 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 5 cm (c) 8 cm (d) 4 cm
2. 2.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 18 cm (b) 6 cm (c) 4 cm (d) 3 cm
3. 3.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 22 cm (c) 12 cm (d) 11 cm
4. 4.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 162 sq cm (b) 27 sq cm (c) 180 sq cm (d) 54 sq cm
5. 5.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
6. 6.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 34 cm (b) 70 cm (c) 27 cm (d) 17 cm
7. 7.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 58 sq cm (c) 29 sq cm (d) 200 sq cm
8. 8.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
9. 9.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
10. 10.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 48 sq cm (c) 15 sq cm (d) 30 sq cm
11. 11.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 220 cm (c) 24 cm (d) 12 cm
12. 12.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 15 sq cm (d) 50 sq cm
13. 13.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 8 cm (c) 9 cm (d) 16 cm
14. 14.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 34 cm (c) 36 cm (d) 32 cm
15. 15.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 36 cm (c) 6 cm (d) 10 cm
16. 16.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 1 cm (c) 4 cm (d) 3 cm
17. 17.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 12 cm (c) 143 cm (d) 13 cm
18. 18.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 28 cm (c) 30 cm (d) 32 cm
19. 19.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
20. 20.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
21. 21.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 5 cm (c) 10 cm (d) 6 cm
22. 22.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 12 cm (c) 45 cm (d) 6 cm
23. 23.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
24. 24.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
25. 25.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 48 cm (b) 143 cm (c) 37 cm (d) 24 cm
26. 26.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
27. 27.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 12 cm (d) 24 cm
28. 28.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 54 sq cm (d) 63 sq cm
29. 29.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 28 sq cm (c) 42 sq cm (d) 16 sq cm
30. 30.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 2 cm (c) 12 cm (d) 3 cm
31. 31.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 3 cm (c) 4 cm (d) 2 cm
32. 32.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
33. 33.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 176 sq cm (b) 27 sq cm (c) 54 sq cm (d) 192 sq cm
34. 34.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 234 sq cm (d) 216 sq cm
35. 35.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 27 sq cm (d) 36 sq cm
36. 36.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 25 sq cm (b) 126 sq cm (c) 50 sq cm (d) 144 sq cm
37. 37.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
38. 38.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 24 sq cm (d) 35 sq cm
39. 39.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 51 cm (b) 8 cm (c) 5 cm (d) 4 cm
40. 40.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 96 cm

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