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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 954 · 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 90 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 75 cm (c) 6 cm (d) 12 cm
  2. 2.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 120 cm (c) 11 cm (d) 12 cm
  3. 3.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
  4. 4.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 18 cm
  5. 5.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 72 cm (b) 14 cm (c) 8 cm (d) 7 cm
  6. 6.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 144 sq cm (c) 46 sq cm (d) 132 sq cm
  7. 7.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 9 cm (c) 3 cm (d) 4 cm
  8. 8.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
  9. 9.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 68 cm (d) 38 cm
  10. 10.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 40 sq cm (b) 98 sq cm (c) 20 sq cm (d) 84 sq cm
  11. 11.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 120 sq cm (c) 44 sq cm (d) 132 sq cm
  12. 12.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
  13. 13.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 35 sq cm (c) 28 sq cm (d) 22 sq cm
  14. 14.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 8 cm (c) 96 cm (d) 7 cm
  15. 15.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 16 sq cm (d) 24 sq cm
  16. 16.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 150 cm (c) 22 cm (d) 11 cm
  17. 17.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
  18. 18.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 51 cm (b) 37 cm (c) 20 cm (d) 40 cm
  19. 19.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
  20. 20.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 220 cm (b) 62 cm (c) 51 cm (d) 31 cm
  21. 21.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 24 sq cm (b) 108 sq cm (c) 126 sq cm (d) 48 sq cm
  22. 22.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 15 cm
  23. 23.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 12 cm (d) 24 cm
  24. 24.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 70 sq cm (d) 60 sq cm
  25. 25.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 39 cm (d) 154 cm
  26. 26.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 42 cm (c) 44 cm (d) 40 cm
  27. 27.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 58 sq cm (c) 29 sq cm (d) 180 sq cm
  28. 28.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
  29. 29.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 54 cm (b) 39 cm (c) 21 cm (d) 42 cm
  30. 30.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 30 cm (b) 56 cm (c) 15 cm (d) 23 cm
  31. 31.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 234 sq cm (b) 216 sq cm (c) 30 sq cm (d) 60 sq cm
  32. 32.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 18 sq cm (c) 36 sq cm (d) 48 sq cm
  33. 33.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 114 sq cm (c) 25 sq cm (d) 133 sq cm
  34. 34.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 20 cm (d) 22 cm
  35. 35.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 22 cm (c) 180 cm (d) 11 cm
  36. 36.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 14 cm (c) 25 cm (d) 28 cm
  37. 37.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 180 cm (d) 46 cm
  38. 38.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 130 sq cm (b) 143 sq cm (c) 23 sq cm (d) 46 sq cm
  39. 39.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 11 cm (d) 28 cm
  40. 40.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 90 sq cm (c) 46 sq cm (d) 23 sq cm

Answer key

  1. 6 cm
  2. 11 cm
  3. 225 sq cm
  4. 2 cm
  5. 7 cm
  6. 132 sq cm
  7. 2 cm
  8. 169 sq cm
  9. 42 cm
  10. 84 sq cm
  11. 120 sq cm
  12. 49 sq cm
  13. 28 sq cm
  14. 7 cm
  15. 16 sq cm
  16. 11 cm
  17. 121 sq cm
  18. 40 cm
  19. 196 sq cm
  20. 62 cm
  21. 108 sq cm
  22. 2 cm
  23. 24 cm
  24. 60 sq cm
  25. 50 cm
  26. 44 cm
  27. 180 sq cm
  28. 12 sq cm
  29. 42 cm
  30. 30 cm
  31. 216 sq cm
  32. 32 sq cm
  33. 114 sq cm
  34. 24 cm
  35. 11 cm
  36. 28 cm
  37. 56 cm
  38. 130 sq cm
  39. 22 cm
  40. 90 sq cm

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