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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 188 · 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 64 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 48 cm (c) 5 cm (d) 4 cm
  2. 2.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 11 cm (c) 22 cm (d) 12 cm
  3. 3.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 33 cm (b) 8 cm (c) 4 cm (d) 5 cm
  4. 4.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 40 sq cm (d) 50 sq cm
  5. 5.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 48 sq cm (d) 14 sq cm
  6. 6.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
  7. 7.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 39 cm (b) 135 cm (c) 24 cm (d) 48 cm
  8. 8.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 28 cm (c) 180 cm (d) 56 cm
  9. 9.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 33 cm (b) 20 cm (c) 40 cm (d) 91 cm
  10. 10.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 8 cm
  11. 11.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 14 cm (b) 8 cm (c) 72 cm (d) 7 cm
  12. 12.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 100 sq cm (b) 120 sq cm (c) 50 sq cm (d) 25 sq cm
  13. 13.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 26 cm (b) 23 cm (c) 30 cm (d) 13 cm
  14. 14.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 33 cm (b) 19 cm (c) 38 cm (d) 70 cm
  15. 15.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 26 cm (c) 30 cm (d) 15 cm
  16. 16.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 114 cm (c) 14 cm (d) 7 cm
  17. 17.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 120 sq cm (b) 135 sq cm (c) 46 sq cm (d) 23 sq cm
  18. 18.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
  19. 19.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 55 sq cm (d) 44 sq cm
  20. 20.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 64 sq cm (d) 80 sq cm
  21. 21.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 20 cm (d) 16 cm
  22. 22.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 36 cm (c) 4 cm (d) 8 cm
  23. 23.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
  24. 24.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 153 sq cm (c) 170 sq cm (d) 52 sq cm
  25. 25.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  26. 26.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 40 cm (c) 6 cm (d) 3 cm
  27. 27.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 35 sq cm (d) 24 sq cm
  28. 28.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 198 cm (c) 13 cm (d) 12 cm
  29. 29.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  30. 30.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
  31. 31.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 100 sq cm (b) 24 sq cm (c) 48 sq cm (d) 80 sq cm
  32. 32.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 22 cm (c) 11 cm (d) 17 cm
  33. 33.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 11 cm (c) 162 cm (d) 20 cm
  34. 34.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 119 cm (c) 16 cm (d) 9 cm
  35. 35.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 47 cm (b) 56 cm (c) 28 cm (d) 171 cm
  36. 36.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 46 sq cm (c) 23 sq cm (d) 128 sq cm
  37. 37.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 8 cm (c) 54 cm (d) 5 cm
  38. 38.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 18 cm (c) 10 cm (d) 9 cm
  39. 39.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
  40. 40.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm

Answer key

  1. 4 cm
  2. 11 cm
  3. 4 cm
  4. 40 sq cm
  5. 48 sq cm
  6. 36 sq cm
  7. 48 cm
  8. 56 cm
  9. 40 cm
  10. 2 cm
  11. 7 cm
  12. 100 sq cm
  13. 26 cm
  14. 38 cm
  15. 30 cm
  16. 7 cm
  17. 120 sq cm
  18. 162 sq cm
  19. 44 sq cm
  20. 64 sq cm
  21. 20 cm
  22. 4 cm
  23. 169 sq cm
  24. 153 sq cm
  25. 121 sq cm
  26. 3 cm
  27. 35 sq cm
  28. 12 cm
  29. 25 sq cm
  30. 64 sq cm
  31. 80 sq cm
  32. 22 cm
  33. 10 cm
  34. 8 cm
  35. 56 cm
  36. 112 sq cm
  37. 4 cm
  38. 9 cm
  39. 2 cm
  40. 49 sq cm

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