Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 10 · 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 is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 95 sq cm (c) 76 sq cm (d) 23 sq cm
2. 2.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 99 cm (c) 11 cm (d) 20 cm
3. 3.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 160 cm (c) 22 cm (d) 12 cm
4. 4.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 26 sq cm (c) 13 sq cm (d) 42 sq cm
5. 5.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 34 cm
6. 6.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 165 cm
7. 7.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 10 cm (c) 128 cm (d) 9 cm
8. 8.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 12 cm (c) 24 cm (d) 13 cm
9. 9.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 140 sq cm (b) 48 sq cm (c) 154 sq cm (d) 24 sq cm
10. 10.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
11. 11.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
12. 12.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 19 cm (c) 38 cm (d) 90 cm
13. 13.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
14. 14.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 32 cm (c) 28 cm (d) 16 cm
15. 15.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 6 cm (c) 20 cm (d) 3 cm
16. 16.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 96 sq cm (b) 108 sq cm (c) 20 sq cm (d) 40 sq cm
17. 17.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 6 cm (c) 4 cm (d) 3 cm
18. 18.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 60 cm
19. 19.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 52 cm (b) 240 cm (c) 32 cm (d) 64 cm
20. 20.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 28 cm (c) 6 cm (d) 4 cm
21. 21.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 31 cm (c) 42 cm (d) 34 cm
22. 22.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 60 cm
23. 23.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 14 sq cm (c) 28 sq cm (d) 45 sq cm
24. 24.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 68 sq cm (b) 21 sq cm (c) 85 sq cm (d) 42 sq cm
25. 25.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 154 cm (c) 50 cm (d) 25 cm
26. 26.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 80 cm (c) 18 cm (d) 28 cm
27. 27.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 216 sq cm (c) 234 sq cm (d) 60 sq cm
28. 28.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 120 cm (c) 26 cm (d) 52 cm
29. 29.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 162 sq cm (b) 144 sq cm (c) 52 sq cm (d) 26 sq cm
30. 30.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 31 cm (b) 18 cm (c) 36 cm (d) 65 cm
31. 31.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 27 sq cm (c) 54 sq cm (d) 180 sq cm
32. 32.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 10 cm (c) 11 cm (d) 20 cm
33. 33.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
34. 34.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 24 cm
35. 35.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 12 cm (b) 6 cm (c) 55 cm (d) 7 cm
36. 36.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 117 sq cm (c) 104 sq cm (d) 21 sq cm
37. 37.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 3 cm (c) 2 cm (d) 4 cm
38. 38.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 16 cm (d) 20 cm
39. 39.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 18 cm (c) 104 cm (d) 9 cm
40. 40.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 17 sq cm (c) 34 sq cm (d) 70 sq cm

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