Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 723 · 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 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 48 sq cm (d) 169 sq cm
2. 2.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
3. 3.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
4. 4.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 133 cm (c) 45 cm (d) 52 cm
5. 5.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 120 cm (c) 22 cm (d) 12 cm
6. 6.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
7. 7.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 20 cm (c) 126 cm (d) 11 cm
8. 8.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 20 cm (d) 22 cm
9. 9.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 4 cm (c) 22 cm (d) 3 cm
10. 10.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 30 cm (d) 15 cm
11. 11.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 5 cm (c) 15 cm (d) 8 cm
12. 12.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 34 sq cm (c) 17 sq cm (d) 52 sq cm
13. 13.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 28 sq cm (c) 54 sq cm (d) 14 sq cm
14. 14.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 22 cm (c) 44 cm (d) 41 cm
15. 15.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 144 sq cm (b) 25 sq cm (c) 160 sq cm (d) 50 sq cm
16. 16.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 156 sq cm (b) 48 sq cm (c) 24 sq cm (d) 143 sq cm
17. 17.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
18. 18.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 85 cm
19. 19.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 12 cm (c) 6 cm (d) 3 cm
20. 20.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 119 sq cm (b) 102 sq cm (c) 46 sq cm (d) 23 sq cm
21. 21.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 80 cm (b) 10 cm (c) 6 cm (d) 5 cm
22. 22.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 24 cm (d) 10 cm
23. 23.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 32 cm (b) 96 cm (c) 40 cm (d) 20 cm
24. 24.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 45 cm (d) 100 cm
25. 25.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 42 cm (b) 37 cm (c) 21 cm (d) 80 cm
26. 26.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 30 cm (b) 23 cm (c) 15 cm (d) 56 cm
27. 27.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
28. 28.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 95 cm (b) 48 cm (c) 24 cm (d) 43 cm
29. 29.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 24 cm
30. 30.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 88 cm (c) 10 cm (d) 9 cm
31. 31.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 16 sq cm
32. 32.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 14 cm (c) 16 cm (d) 12 cm
33. 33.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 42 cm
34. 34.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 108 cm (d) 33 cm
35. 35.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 38 cm (b) 48 cm (c) 19 cm (d) 35 cm
36. 36.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 23 sq cm (b) 80 sq cm (c) 46 sq cm (d) 60 sq cm
37. 37.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 16 cm (c) 3 cm (d) 4 cm
38. 38.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
39. 39.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 34 cm (c) 60 cm (d) 38 cm
40. 40.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 12 cm (c) 154 cm (d) 24 cm

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