Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 481 · 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 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
2. 2.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
3. 3.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
4. 4.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 162 cm (c) 20 cm (d) 10 cm
5. 5.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 152 sq cm (c) 27 sq cm (d) 54 sq cm
6. 6.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 22 cm (c) 41 cm (d) 44 cm
7. 7.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 95 cm
8. 8.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 3 cm (c) 22 cm (d) 4 cm
9. 9.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 32 sq cm (c) 16 sq cm (d) 60 sq cm
10. 10.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 27 cm (c) 24 cm (d) 21 cm
11. 11.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 57 sq cm (c) 76 sq cm (d) 44 sq cm
12. 12.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 3 cm (c) 2 cm (d) 4 cm
13. 13.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 26 sq cm (c) 170 sq cm (d) 52 sq cm
14. 14.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 36 sq cm (c) 15 sq cm (d) 30 sq cm
15. 15.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 7 cm (c) 12 cm (d) 6 cm
16. 16.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 48 cm
17. 17.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 64 sq cm (b) 48 sq cm (c) 19 sq cm (d) 38 sq cm
18. 18.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 140 sq cm (d) 126 sq cm
19. 19.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 12 cm (c) 13 cm (d) 24 cm
20. 20.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 13 cm (c) 24 cm (d) 12 cm
21. 21.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
22. 22.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
23. 23.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
24. 24.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 42 sq cm (d) 49 sq cm
25. 25.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
26. 26.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
27. 27.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 sq cm
28. 28.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 110 cm (d) 32 cm
29. 29.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 24 sq cm (d) 36 sq cm
30. 30.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 80 cm
31. 31.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 10 cm (d) 18 cm
32. 32.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 25 cm (c) 50 cm (d) 39 cm
33. 33.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 50 cm (b) 114 cm (c) 44 cm (d) 25 cm
34. 34.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 24 cm
35. 35.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 160 cm (b) 18 cm (c) 10 cm (d) 9 cm
36. 36.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 42 sq cm (c) 35 sq cm (d) 24 sq cm
37. 37.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
38. 38.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 34 sq cm (c) 66 sq cm (d) 17 sq cm
39. 39.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 18 cm (c) 112 cm (d) 9 cm
40. 40.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 21 sq cm (c) 10 sq cm (d) 28 sq cm

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