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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 135 · 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 84 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 72 cm
  2. 2.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 10 sq cm (d) 24 sq cm
  3. 3.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 12 cm (d) 24 cm
  4. 4.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 20 sq cm (d) 121 sq cm
  5. 5.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 60 sq cm (d) 256 sq cm
  6. 6.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 48 sq cm (b) 128 sq cm (c) 24 sq cm (d) 144 sq cm
  7. 7.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
  8. 8.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 120 sq cm (b) 46 sq cm (c) 23 sq cm (d) 135 sq cm
  9. 9.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 120 cm
  10. 10.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 25 sq cm (b) 120 sq cm (c) 50 sq cm (d) 100 sq cm
  11. 11.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 171 cm
  12. 12.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 62 sq cm (b) 31 sq cm (c) 240 sq cm (d) 220 sq cm
  13. 13.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  14. 14.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  15. 15.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 42 cm (b) 80 cm (c) 21 cm (d) 37 cm
  16. 16.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 31 cm (b) 99 cm (c) 20 cm (d) 40 cm
  17. 17.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 192 cm (b) 28 cm (c) 44 cm (d) 56 cm
  18. 18.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 102 sq cm (b) 22 sq cm (c) 85 sq cm (d) 44 sq cm
  19. 19.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 15 cm (c) 30 cm (d) 27 cm
  20. 20.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 28 cm (d) 14 cm
  21. 21.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 47 cm (b) 171 cm (c) 28 cm (d) 56 cm
  22. 22.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 56 sq cm (d) 48 sq cm
  23. 23.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 18 cm (d) 11 cm
  24. 24.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 72 sq cm (d) 54 sq cm
  25. 25.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  26. 26.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 30 sq cm (d) 20 sq cm
  27. 27.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 112 cm (c) 9 cm (d) 18 cm
  28. 28.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 80 sq cm (c) 60 sq cm (d) 23 sq cm
  29. 29.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 45 sq cm (c) 54 sq cm (d) 28 sq cm
  30. 30.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 105 sq cm (d) 90 sq cm
  31. 31.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 35 sq cm (d) 11 sq cm
  32. 32.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 19 sq cm (c) 90 sq cm (d) 38 sq cm
  33. 33.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 12 cm (c) 40 cm (d) 7 cm
  34. 34.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 160 cm (c) 9 cm (d) 10 cm
  35. 35.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  36. 36.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 56 sq cm (c) 34 sq cm (d) 42 sq cm
  37. 37.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 30 sq cm (d) 11 sq cm
  38. 38.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 171 sq cm (d) 190 sq cm
  39. 39.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
  40. 40.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 99 cm

Answer key

  1. 7 cm
  2. 24 sq cm
  3. 24 cm
  4. 100 sq cm
  5. 225 sq cm
  6. 128 sq cm
  7. 121 sq cm
  8. 120 sq cm
  9. 9 cm
  10. 100 sq cm
  11. 10 cm
  12. 220 sq cm
  13. 36 sq cm
  14. 25 sq cm
  15. 42 cm
  16. 40 cm
  17. 56 cm
  18. 85 sq cm
  19. 30 cm
  20. 28 cm
  21. 56 cm
  22. 48 sq cm
  23. 22 cm
  24. 54 sq cm
  25. 64 sq cm
  26. 20 sq cm
  27. 9 cm
  28. 60 sq cm
  29. 45 sq cm
  30. 90 sq cm
  31. 28 sq cm
  32. 90 sq cm
  33. 6 cm
  34. 9 cm
  35. 49 sq cm
  36. 42 sq cm
  37. 30 sq cm
  38. 171 sq cm
  39. 196 sq cm
  40. 10 cm

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