Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 357 · 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 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 12 cm (c) 22 cm (d) 11 cm
2. 2.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
3. 3.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
4. 4.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
5. 5.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 130 cm (c) 36 cm (d) 23 cm
6. 6.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
7. 7.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
8. 8.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 18 cm (d) 16 cm
9. 9.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 24 cm
10. 10.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 216 sq cm (b) 60 sq cm (c) 30 sq cm (d) 234 sq cm
11. 11.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
12. 12.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 29 cm (d) 39 cm
13. 13.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 64 sq cm (c) 40 sq cm (d) 80 sq cm
14. 14.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 192 sq cm (d) 208 sq cm
15. 15.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 12 cm (c) 14 cm (d) 8 cm
16. 16.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 190 sq cm (c) 209 sq cm (d) 29 sq cm
17. 17.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 52 sq cm (c) 26 sq cm (d) 133 sq cm
18. 18.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 20 cm
19. 19.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 7 cm (c) 14 cm (d) 8 cm
20. 20.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 39 sq cm (b) 15 sq cm (c) 30 sq cm (d) 26 sq cm
21. 21.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 16 sq cm (c) 20 sq cm (d) 10 sq cm
22. 22.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 30 sq cm (d) 40 sq cm
23. 23.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
24. 24.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 37 cm (b) 44 cm (c) 22 cm (d) 105 cm
25. 25.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 34 sq cm (c) 81 sq cm (d) 17 sq cm
26. 26.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 12 cm (d) 35 cm
27. 27.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 96 cm (c) 32 cm (d) 40 cm
28. 28.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 84 sq cm (c) 72 sq cm (d) 36 sq cm
29. 29.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
30. 30.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
31. 31.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 90 sq cm (c) 38 sq cm (d) 19 sq cm
32. 32.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 20 cm (d) 18 cm
33. 33.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 12 cm (c) 7 cm (d) 6 cm
34. 34.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 26 cm (c) 60 cm (d) 16 cm
35. 35.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 42 sq cm (c) 12 sq cm (d) 24 sq cm
36. 36.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 108 cm (b) 48 cm (c) 24 cm (d) 42 cm
37. 37.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 162 sq cm (c) 27 sq cm (d) 54 sq cm
38. 38.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 18 sq cm (d) 16 sq cm
39. 39.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 72 sq cm (c) 16 sq cm (d) 63 sq cm
40. 40.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

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