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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 73 · 40 questions
TalentJR

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.

NameDateTime takenScore ___ / 40
  1. 1.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 105 cm
  2. 2.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
  3. 3.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 220 cm (c) 24 cm (d) 12 cm
  4. 4.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 23 sq cm (c) 46 sq cm (d) 126 sq cm
  5. 5.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 27 cm (d) 21 cm
  6. 6.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 30 sq cm (d) 10 sq cm
  7. 7.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 48 cm
  8. 8.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
  9. 9.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 22 sq cm (d) 24 sq cm
  10. 10.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 58 cm (b) 29 cm (c) 47 cm (d) 198 cm
  11. 11.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 126 sq cm (b) 24 sq cm (c) 48 sq cm (d) 108 sq cm
  12. 12.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 7 cm
  13. 13.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 35 cm (b) 98 cm (c) 42 cm (d) 21 cm
  14. 14.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 26 cm (c) 17 cm (d) 34 cm
  15. 15.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 20 sq cm (b) 98 sq cm (c) 40 sq cm (d) 84 sq cm
  16. 16.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 27 sq cm (b) 170 sq cm (c) 54 sq cm (d) 187 sq cm
  17. 17.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 30 sq cm (c) 22 sq cm (d) 36 sq cm
  18. 18.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
  19. 19.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 56 cm (b) 46 cm (c) 180 cm (d) 28 cm
  20. 20.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 45 cm (c) 28 cm (d) 14 cm
  21. 21.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 50 sq cm (b) 169 sq cm (c) 156 sq cm (d) 25 sq cm
  22. 22.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 32 cm (c) 20 cm (d) 24 cm
  23. 23.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 30 cm (b) 19 cm (c) 88 cm (d) 38 cm
  24. 24.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 36 cm (d) 130 cm
  25. 25.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 29 sq cm (c) 200 sq cm (d) 58 sq cm
  26. 26.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 13 sq cm (d) 42 sq cm
  27. 27.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 45 sq cm (c) 54 sq cm (d) 14 sq cm
  28. 28.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 3 cm (c) 10 cm (d) 6 cm
  29. 29.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 34 cm (c) 36 cm (d) 19 cm
  30. 30.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 162 cm
  31. 31.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 91 cm
  32. 32.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 43 cm (d) 60 cm
  33. 33.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
  34. 34.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 162 sq cm (d) 144 sq cm
  35. 35.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 180 cm (c) 10 cm (d) 11 cm
  36. 36.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
  37. 37.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 22 cm (d) 11 cm
  38. 38.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 198 cm
  39. 39.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 32 sq cm (d) 12 sq cm
  40. 40.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 10 cm (c) 9 cm (d) 18 cm

Answer key

  1. 8 cm
  2. 144 sq cm
  3. 12 cm
  4. 126 sq cm
  5. 24 cm
  6. 24 sq cm
  7. 5 cm
  8. 49 sq cm
  9. 24 sq cm
  10. 58 cm
  11. 108 sq cm
  12. 2 cm
  13. 42 cm
  14. 34 cm
  15. 84 sq cm
  16. 170 sq cm
  17. 30 sq cm
  18. 36 sq cm
  19. 56 cm
  20. 28 cm
  21. 156 sq cm
  22. 24 cm
  23. 38 cm
  24. 46 cm
  25. 180 sq cm
  26. 42 sq cm
  27. 45 sq cm
  28. 3 cm
  29. 38 cm
  30. 10 cm
  31. 8 cm
  32. 46 cm
  33. 81 sq cm
  34. 144 sq cm
  35. 10 cm
  36. 225 sq cm
  37. 22 cm
  38. 12 cm
  39. 32 sq cm
  40. 9 cm

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