Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 25 · 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 14 cm long and 12 cm wide. What is its area? (a) 168 sq cm (b) 26 sq cm (c) 52 sq cm (d) 182 sq cm
2. 2.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 25 sq cm (b) 144 sq cm (c) 50 sq cm (d) 160 sq cm
3. 3.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 100 sq cm (d) 40 sq cm
4. 4.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 4 cm (c) 2 cm (d) 3 cm
5. 5.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 4 cm (c) 14 cm (d) 3 cm
6. 6.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 33 cm (c) 36 cm (d) 45 cm
7. 7.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
8. 8.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 30 cm (b) 50 cm (c) 60 cm (d) 200 cm
9. 9.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
10. 10.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 136 cm (c) 18 cm (d) 9 cm
11. 11.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 44 cm (b) 192 cm (c) 28 cm (d) 56 cm
12. 12.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 14 cm (c) 28 cm (d) 24 cm
13. 13.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 39 cm (c) 5 cm (d) 4 cm
14. 14.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 27 sq cm (d) 24 sq cm
15. 15.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 7 cm (c) 66 cm (d) 14 cm
16. 16.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
17. 17.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
18. 18.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 60 cm (b) 19 cm (c) 38 cm (d) 34 cm
19. 19.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
20. 20.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 9 sq cm (d) 18 sq cm
21. 21.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 18 sq cm (d) 19 sq cm
22. 22.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 228 cm (c) 62 cm (d) 31 cm
23. 23.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
24. 24.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 30 cm (c) 34 cm (d) 17 cm
25. 25.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 128 sq cm (d) 24 sq cm
26. 26.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 140 cm (c) 22 cm (d) 11 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 has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 117 cm (c) 11 cm (d) 10 cm
29. 29.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 13 cm (c) 26 cm (d) 30 cm
30. 30.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 60 cm
31. 31.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 17 sq cm (c) 34 sq cm (d) 42 sq cm
32. 32.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 2 cm (b) 10 cm (c) 4 cm (d) 3 cm
33. 33.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 18 sq cm (d) 12 sq cm
34. 34.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 17 sq cm (c) 34 sq cm (d) 66 sq cm
35. 35.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 2 cm (c) 6 cm (d) 4 cm
36. 36.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 11 cm (c) 20 cm (d) 10 cm
37. 37.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 10 cm (d) 20 cm
38. 38.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 12 cm
39. 39.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
40. 40.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 220 sq cm (b) 200 sq cm (c) 30 sq cm (d) 60 sq cm

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