Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 56 · 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 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
2. 2.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 19 sq cm (b) 84 sq cm (c) 38 sq cm (d) 70 sq cm
3. 3.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
4. 4.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 135 sq cm (d) 150 sq cm
5. 5.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
6. 6.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
7. 7.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
8. 8.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 38 sq cm (c) 19 sq cm (d) 84 sq cm
9. 9.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 3 cm (c) 6 cm (d) 4 cm
10. 10.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
11. 11.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
12. 12.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 23 cm (b) 130 cm (c) 36 cm (d) 46 cm
13. 13.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 24 sq cm (b) 128 sq cm (c) 144 sq cm (d) 48 sq cm
14. 14.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 10 cm (d) 20 cm
15. 15.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 30 cm (c) 28 cm (d) 32 cm
16. 16.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 20 cm (b) 99 cm (c) 11 cm (d) 10 cm
17. 17.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 34 cm (d) 60 cm
18. 18.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
19. 19.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 120 sq cm (b) 46 sq cm (c) 23 sq cm (d) 135 sq cm
20. 20.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 45 cm
21. 21.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 7 cm (c) 96 cm (d) 14 cm
22. 22.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
23. 23.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 44 cm (c) 48 cm (d) 24 cm
24. 24.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 190 cm (c) 11 cm (d) 22 cm
25. 25.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 170 sq cm (d) 187 sq cm
26. 26.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 80 cm
27. 27.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 2 cm (b) 13 cm (c) 3 cm (d) 4 cm
28. 28.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 160 sq cm (c) 26 sq cm (d) 52 sq cm
29. 29.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 78 sq cm (d) 65 sq cm
30. 30.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 14 sq cm (c) 48 sq cm (d) 28 sq cm
31. 31.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 98 cm (b) 21 cm (c) 35 cm (d) 42 cm
32. 32.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 27 cm (c) 15 cm (d) 30 cm
33. 33.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
34. 34.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 200 sq cm (c) 30 sq cm (d) 220 sq cm
35. 35.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 46 sq cm (c) 23 sq cm (d) 76 sq cm
36. 36.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 60 cm (c) 14 cm (d) 7 cm
37. 37.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 50 cm (b) 126 cm (c) 43 cm (d) 25 cm
38. 38.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 104 cm (c) 10 cm (d) 18 cm
39. 39.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 34 sq cm (c) 80 sq cm (d) 17 sq cm
40. 40.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 22 cm (d) 14 cm

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