Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 881 · 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 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 8 cm (c) 21 cm (d) 4 cm
2. 2.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 96 cm (c) 14 cm (d) 7 cm
3. 3.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
4. 4.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 112 cm (c) 9 cm (d) 10 cm
5. 5.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 90 cm (c) 21 cm (d) 42 cm
6. 6.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
7. 7.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 105 cm
8. 8.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 76 cm (b) 10 cm (c) 5 cm (d) 6 cm
9. 9.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
10. 10.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 16 cm (c) 25 cm (d) 32 cm
11. 11.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 23 sq cm (c) 46 sq cm (d) 130 sq cm
12. 12.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 48 cm (c) 44 cm (d) 24 cm
13. 13.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
14. 14.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 48 sq cm (d) 40 sq cm
15. 15.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 20 sq cm (b) 104 sq cm (c) 91 sq cm (d) 40 sq cm
16. 16.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 25 sq cm (b) 133 sq cm (c) 114 sq cm (d) 50 sq cm
17. 17.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
18. 18.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
19. 19.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 36 sq cm (d) 30 sq cm
20. 20.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 48 cm (b) 5 cm (c) 6 cm (d) 10 cm
21. 21.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 10 cm (d) 20 cm
22. 22.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
23. 23.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 8 cm (c) 5 cm (d) 4 cm
24. 24.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 75 sq cm (c) 19 sq cm (d) 38 sq cm
25. 25.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 16 sq cm (d) 60 sq cm
26. 26.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 46 cm (d) 152 cm
27. 27.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 50 cm (b) 39 cm (c) 154 cm (d) 25 cm
28. 28.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 51 cm (c) 40 cm (d) 37 cm
29. 29.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 39 sq cm (b) 32 sq cm (c) 16 sq cm (d) 52 sq cm
30. 30.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 170 cm (c) 11 cm (d) 22 cm
31. 31.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
32. 32.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 85 cm (b) 6 cm (c) 7 cm (d) 12 cm
33. 33.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 152 cm (c) 18 cm (d) 9 cm
34. 34.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 10 cm (b) 36 cm (c) 5 cm (d) 6 cm
35. 35.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 24 sq cm (c) 9 sq cm (d) 19 sq cm
36. 36.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 56 sq cm (c) 42 sq cm (d) 34 sq cm
37. 37.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 24 cm (c) 27 cm (d) 12 cm
38. 38.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 11 cm (c) 22 cm (d) 18 cm
39. 39.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 45 sq cm (c) 28 sq cm (d) 54 sq cm
40. 40.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 8 cm (c) 4 cm (d) 5 cm

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