Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 95 · 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) 196 sq cm (b) 28 sq cm (c) 225 sq cm (d) 56 sq cm
2. 2.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm
3. 3.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 96 cm (b) 38 cm (c) 44 cm (d) 22 cm
4. 4.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 26 sq cm (c) 48 sq cm (d) 13 sq cm
5. 5.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
6. 6.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 16 cm (b) 27 cm (c) 32 cm (d) 55 cm
7. 7.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
8. 8.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 119 cm
9. 9.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 78 sq cm (b) 38 sq cm (c) 91 sq cm (d) 19 sq cm
10. 10.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
11. 11.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 55 cm (b) 6 cm (c) 7 cm (d) 12 cm
12. 12.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 11 sq cm (c) 36 sq cm (d) 22 sq cm
13. 13.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 26 cm
14. 14.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 8 cm (d) 12 cm
15. 15.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 70 sq cm (c) 56 sq cm (d) 18 sq cm
16. 16.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 13 cm (c) 143 cm (d) 12 cm
17. 17.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 20 cm (c) 11 cm (d) 10 cm
18. 18.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
19. 19.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 20 sq cm (c) 30 sq cm (d) 24 sq cm
20. 20.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 140 sq cm (c) 52 sq cm (d) 120 sq cm
21. 21.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 39 cm (c) 32 cm (d) 29 cm
22. 22.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) 8 cm (d) 15 cm
23. 23.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 32 cm (b) 96 cm (c) 20 cm (d) 40 cm
24. 24.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 136 cm (b) 42 cm (c) 25 cm (d) 50 cm
25. 25.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 8 cm (c) 4 cm (d) 5 cm
26. 26.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 80 cm (b) 42 cm (c) 37 cm (d) 21 cm
27. 27.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 24 cm (c) 13 cm (d) 12 cm
28. 28.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
29. 29.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 43 cm (b) 24 cm (c) 48 cm (d) 95 cm
30. 30.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 81 sq cm (c) 34 sq cm (d) 72 sq cm
31. 31.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 23 cm (c) 46 cm (d) 76 cm
32. 32.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 72 sq cm (b) 54 sq cm (c) 42 sq cm (d) 21 sq cm
33. 33.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 54 cm (c) 14 cm (d) 7 cm
34. 34.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 25 sq cm (d) 126 sq cm
35. 35.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 56 sq cm (c) 64 sq cm (d) 15 sq cm
36. 36.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 38 cm (c) 19 cm (d) 33 cm
37. 37.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 84 sq cm (c) 38 sq cm (d) 96 sq cm
38. 38.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 90 sq cm (c) 105 sq cm (d) 21 sq cm
39. 39.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 16 cm (b) 91 cm (c) 8 cm (d) 9 cm
40. 40.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 6 cm (c) 5 cm (d) 10 cm

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