Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 313 · 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 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
2. 2.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 80 cm
3. 3.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 13 cm (c) 22 cm (d) 26 cm
4. 4.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 91 cm (c) 33 cm (d) 40 cm
5. 5.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 9 cm (c) 105 cm (d) 8 cm
6. 6.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 180 sq cm (c) 58 sq cm (d) 200 sq cm
7. 7.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 38 sq cm (c) 57 sq cm (d) 21 sq cm
8. 8.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
9. 9.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 91 sq cm (d) 104 sq cm
10. 10.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 56 sq cm (c) 190 sq cm (d) 28 sq cm
11. 11.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 49 sq cm (d) 12 sq cm
12. 12.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 13 sq cm (c) 40 sq cm (d) 26 sq cm
13. 13.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 4 cm (c) 21 cm (d) 5 cm
14. 14.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 47 cm (b) 171 cm (c) 28 cm (d) 56 cm
15. 15.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 240 sq cm (c) 62 sq cm (d) 220 sq cm
16. 16.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 126 sq cm (b) 48 sq cm (c) 108 sq cm (d) 24 sq cm
17. 17.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 4 cm (c) 8 cm (d) 5 cm
18. 18.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 96 sq cm (c) 19 sq cm (d) 84 sq cm
19. 19.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 40 sq cm (d) 32 sq cm
20. 20.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 11 cm (c) 120 cm (d) 12 cm
21. 21.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 50 sq cm (b) 165 sq cm (c) 150 sq cm (d) 25 sq cm
22. 22.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 14 cm (c) 84 cm (d) 7 cm
23. 23.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 38 cm (c) 42 cm (d) 68 cm
24. 24.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 114 cm (c) 7 cm (d) 8 cm
25. 25.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 14 cm (d) 16 cm
26. 26.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
27. 27.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
28. 28.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 18 cm (c) 56 cm (d) 36 cm
29. 29.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 96 cm (b) 7 cm (c) 14 cm (d) 8 cm
30. 30.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 43 cm (b) 46 cm (c) 23 cm (d) 60 cm
31. 31.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 60 sq cm (c) 19 sq cm (d) 38 sq cm
32. 32.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 15 cm (c) 5 cm (d) 8 cm
33. 33.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 176 sq cm (d) 160 sq cm
34. 34.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 60 sq cm (c) 70 sq cm (d) 16 sq cm
35. 35.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 143 cm (c) 12 cm (d) 24 cm
36. 36.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
37. 37.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 4 cm (c) 3 cm (d) 6 cm
38. 38.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 24 sq cm (d) 19 sq cm
39. 39.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 49 cm (b) 180 cm (c) 58 cm (d) 29 cm
40. 40.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 6 cm (c) 4 cm (d) 3 cm

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