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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 151 · 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 48 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 12 cm (c) 40 cm (d) 6 cm
  2. 2.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 70 sq cm (d) 60 sq cm
  3. 3.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 18 cm (c) 72 cm (d) 36 cm
  4. 4.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  5. 5.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 90 cm (c) 42 cm (d) 21 cm
  6. 6.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 33 cm (c) 19 cm (d) 38 cm
  7. 7.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  8. 8.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 187 sq cm (c) 170 sq cm (d) 27 sq cm
  9. 9.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 48 sq cm (d) 56 sq cm
  10. 10.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  11. 11.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 24 sq cm (d) 20 sq cm
  12. 12.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 84 sq cm (c) 96 sq cm (d) 19 sq cm
  13. 13.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 34 sq cm (c) 70 sq cm (d) 17 sq cm
  14. 14.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 42 sq cm (c) 35 sq cm (d) 24 sq cm
  15. 15.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 28 cm (b) 187 cm (c) 56 cm (d) 45 cm
  16. 16.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
  17. 17.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 144 cm
  18. 18.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 128 cm (d) 40 cm
  19. 19.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 54 sq cm (c) 45 sq cm (d) 28 sq cm
  20. 20.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 6 cm (c) 44 cm (d) 10 cm
  21. 21.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
  22. 22.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 16 cm (d) 32 cm
  23. 23.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 4 cm (c) 3 cm (d) 2 cm
  24. 24.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 39 sq cm (b) 16 sq cm (c) 32 sq cm (d) 52 sq cm
  25. 25.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 9 cm (c) 140 cm (d) 16 cm
  26. 26.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 18 cm (c) 88 cm (d) 10 cm
  27. 27.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 48 sq cm (b) 36 sq cm (c) 18 sq cm (d) 32 sq cm
  28. 28.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 84 sq cm (d) 72 sq cm
  29. 29.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 72 sq cm (b) 44 sq cm (c) 90 sq cm (d) 22 sq cm
  30. 30.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 52 cm (b) 26 cm (c) 144 cm (d) 44 cm
  31. 31.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
  32. 32.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 95 cm
  33. 33.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 44 cm (c) 22 cm (d) 37 cm
  34. 34.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  35. 35.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 20 sq cm (b) 75 sq cm (c) 90 sq cm (d) 40 sq cm
  36. 36.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 3 cm (c) 14 cm (d) 2 cm
  37. 37.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 165 sq cm (b) 150 sq cm (c) 50 sq cm (d) 25 sq cm
  38. 38.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 45 sq cm (c) 36 sq cm (d) 18 sq cm
  39. 39.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 12 cm (c) 143 cm (d) 13 cm
  40. 40.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 19 sq cm (c) 51 sq cm (d) 38 sq cm

Answer key

  1. 6 cm
  2. 60 sq cm
  3. 36 cm
  4. 196 sq cm
  5. 42 cm
  6. 38 cm
  7. 121 sq cm
  8. 170 sq cm
  9. 48 sq cm
  10. 64 sq cm
  11. 24 sq cm
  12. 84 sq cm
  13. 70 sq cm
  14. 35 sq cm
  15. 56 cm
  16. 22 cm
  17. 10 cm
  18. 48 cm
  19. 45 sq cm
  20. 5 cm
  21. 40 sq cm
  22. 32 cm
  23. 2 cm
  24. 39 sq cm
  25. 8 cm
  26. 9 cm
  27. 32 sq cm
  28. 72 sq cm
  29. 72 sq cm
  30. 52 cm
  31. 144 sq cm
  32. 6 cm
  33. 44 cm
  34. 36 sq cm
  35. 75 sq cm
  36. 2 cm
  37. 150 sq cm
  38. 45 sq cm
  39. 12 cm
  40. 34 sq cm

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