Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 424 · 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 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 169 sq cm (d) 196 sq cm
2. 2.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 38 cm (c) 6 cm (d) 3 cm
3. 3.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 153 cm (c) 10 cm (d) 11 cm
4. 4.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
5. 5.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 48 sq cm (b) 32 sq cm (c) 36 sq cm (d) 18 sq cm
6. 6.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
7. 7.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 5 cm (c) 57 cm (d) 4 cm
8. 8.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 46 sq cm (c) 130 sq cm (d) 23 sq cm
9. 9.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 52 cm (b) 45 cm (c) 133 cm (d) 26 cm
10. 10.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 19 sq cm (d) 24 sq cm
11. 11.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 120 sq cm (c) 22 sq cm (d) 44 sq cm
12. 12.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 24 cm (c) 154 cm (d) 13 cm
13. 13.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
14. 14.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 136 cm (b) 25 cm (c) 50 cm (d) 42 cm
15. 15.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 180 sq cm (d) 162 sq cm
16. 16.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 108 cm
17. 17.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 14 sq cm (d) 21 sq cm
18. 18.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 45 cm (c) 33 cm (d) 36 cm
19. 19.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 15 cm (c) 23 cm (d) 30 cm
20. 20.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 52 cm (c) 34 cm (d) 17 cm
21. 21.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 60 sq cm (d) 30 sq cm
22. 22.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 14 sq cm (c) 28 sq cm (d) 24 sq cm
23. 23.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 27 cm (c) 180 cm (d) 54 cm
24. 24.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 192 cm (b) 56 cm (c) 44 cm (d) 28 cm
25. 25.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 2 cm
26. 26.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
27. 27.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 24 sq cm (d) 10 sq cm
28. 28.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 104 sq cm (d) 117 sq cm
29. 29.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 16 cm (d) 32 cm
30. 30.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 24 cm (c) 5 cm (d) 4 cm
31. 31.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 16 cm (c) 26 cm (d) 32 cm
32. 32.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 29 sq cm (b) 190 sq cm (c) 58 sq cm (d) 209 sq cm
33. 33.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 14 cm (c) 66 cm (d) 7 cm
34. 34.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
35. 35.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 99 sq cm (c) 110 sq cm (d) 40 sq cm
36. 36.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 72 sq cm (c) 90 sq cm (d) 22 sq cm
37. 37.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 8 cm
38. 38.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
39. 39.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 16 sq cm (d) 12 sq cm
40. 40.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 17 cm (c) 34 cm (d) 66 cm

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