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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 250 · 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 is 16 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 24 cm (c) 128 cm (d) 48 cm
  2. 2.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 216 sq cm (c) 29 sq cm (d) 198 sq cm
  3. 3.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 45 cm (c) 23 cm (d) 28 cm
  4. 4.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 4 cm (c) 2 cm (d) 3 cm
  5. 5.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
  6. 6.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 20 cm (c) 11 cm (d) 10 cm
  7. 7.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  8. 8.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 46 sq cm (c) 23 sq cm (d) 108 sq cm
  9. 9.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
  10. 10.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 20 cm (c) 10 cm (d) 11 cm
  11. 11.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 30 sq cm (c) 13 sq cm (d) 40 sq cm
  12. 12.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 64 sq cm (b) 20 sq cm (c) 40 sq cm (d) 80 sq cm
  13. 13.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 11 sq cm (c) 30 sq cm (d) 22 sq cm
  14. 14.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
  15. 15.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 20 cm (c) 11 cm (d) 10 cm
  16. 16.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 96 sq cm (d) 84 sq cm
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  18. 18.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 120 cm (c) 52 cm (d) 26 cm
  19. 19.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 128 cm
  20. 20.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 19 sq cm (d) 9 sq cm
  21. 21.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 39 cm (b) 8 cm (c) 4 cm (d) 5 cm
  22. 22.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 11 cm (c) 170 cm (d) 12 cm
  23. 23.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 42 sq cm (d) 56 sq cm
  24. 24.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
  25. 25.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 17 cm (b) 4 cm (c) 3 cm (d) 2 cm
  26. 26.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 12 cm (d) 8 cm
  27. 27.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 48 sq cm (c) 26 sq cm (d) 13 sq cm
  28. 28.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 11 sq cm (d) 24 sq cm
  29. 29.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 36 cm (c) 20 cm (d) 38 cm
  30. 30.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 15 cm (c) 30 cm (d) 50 cm
  31. 31.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
  32. 32.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 4 cm (c) 57 cm (d) 5 cm
  33. 33.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 50 cm (c) 39 cm (d) 25 cm
  34. 34.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 136 cm
  35. 35.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 18 cm
  36. 36.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 54 sq cm (d) 45 sq cm
  37. 37.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 11 cm (d) 22 cm
  38. 38.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 35 sq cm (d) 28 sq cm
  39. 39.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 102 sq cm (c) 22 sq cm (d) 44 sq cm
  40. 40.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 11 cm (c) 22 cm (d) 12 cm

Answer key

  1. 48 cm
  2. 198 sq cm
  3. 28 cm
  4. 2 cm
  5. 25 sq cm
  6. 10 cm
  7. 64 sq cm
  8. 90 sq cm
  9. 121 sq cm
  10. 10 cm
  11. 30 sq cm
  12. 64 sq cm
  13. 30 sq cm
  14. 36 sq cm
  15. 10 cm
  16. 84 sq cm
  17. 81 sq cm
  18. 52 cm
  19. 9 cm
  20. 18 sq cm
  21. 4 cm
  22. 11 cm
  23. 42 sq cm
  24. 8 cm
  25. 2 cm
  26. 16 cm
  27. 40 sq cm
  28. 24 sq cm
  29. 40 cm
  30. 30 cm
  31. 196 sq cm
  32. 4 cm
  33. 50 cm
  34. 9 cm
  35. 3 cm
  36. 45 sq cm
  37. 22 cm
  38. 28 sq cm
  39. 85 sq cm
  40. 11 cm

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