Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 235 · 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) 4 cm (b) 8 cm (c) 5 cm (d) 21 cm
2. 2.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 70 sq cm (c) 16 sq cm (d) 60 sq cm
3. 3.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 5 cm (c) 48 cm (d) 6 cm
4. 4.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 209 sq cm (b) 60 sq cm (c) 30 sq cm (d) 228 sq cm
5. 5.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 8 cm (c) 2 cm (d) 3 cm
6. 6.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
7. 7.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
8. 8.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 24 cm (c) 44 cm (d) 48 cm
9. 9.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 96 cm (d) 40 cm
10. 10.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 18 cm (d) 15 cm
11. 11.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
12. 12.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 3 cm (c) 2 cm (d) 4 cm
13. 13.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
14. 14.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 10 cm (c) 20 cm (d) 11 cm
15. 15.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 8 cm (c) 16 cm (d) 9 cm
16. 16.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 60 cm (b) 50 cm (c) 30 cm (d) 200 cm
17. 17.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 85 cm (b) 12 cm (c) 6 cm (d) 7 cm
18. 18.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 40 cm (c) 38 cm (d) 42 cm
19. 19.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
20. 20.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 120 sq cm (d) 105 sq cm
21. 21.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 26 sq cm (d) 48 sq cm
22. 22.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 36 sq cm (c) 30 sq cm (d) 22 sq cm
23. 23.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 143 cm (c) 13 cm (d) 12 cm
24. 24.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 17 sq cm (b) 77 sq cm (c) 66 sq cm (d) 34 sq cm
25. 25.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 68 sq cm (b) 42 sq cm (c) 21 sq cm (d) 85 sq cm
26. 26.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 21 sq cm (c) 57 sq cm (d) 42 sq cm
27. 27.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
28. 28.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 52 sq cm (c) 162 sq cm (d) 26 sq cm
29. 29.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 24 cm (d) 26 cm
30. 30.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 63 sq cm (b) 16 sq cm (c) 32 sq cm (d) 72 sq cm
31. 31.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 135 cm (b) 24 cm (c) 39 cm (d) 48 cm
32. 32.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
33. 33.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
34. 34.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 46 sq cm (c) 60 sq cm (d) 23 sq cm
35. 35.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 10 cm (c) 20 cm (d) 11 cm
36. 36.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 10 cm (c) 6 cm (d) 3 cm
37. 37.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 64 cm (b) 6 cm (c) 10 cm (d) 5 cm
38. 38.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 84 sq cm (d) 98 sq cm
39. 39.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 60 sq cm (d) 256 sq cm
40. 40.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 176 cm (b) 43 cm (c) 27 cm (d) 54 cm

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