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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 429 · 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 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 105 sq cm (c) 21 sq cm (d) 90 sq cm
  2. 2.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 120 sq cm (c) 135 sq cm (d) 23 sq cm
  3. 3.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 4 cm (c) 2 cm (d) 3 cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
  5. 5.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  6. 6.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
  7. 7.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 10 cm (d) 24 cm
  8. 8.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 154 sq cm (b) 48 sq cm (c) 24 sq cm (d) 140 sq cm
  9. 9.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 26 sq cm (c) 30 sq cm (d) 13 sq cm
  10. 10.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 21 cm (c) 4 cm (d) 5 cm
  11. 11.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 20 sq cm (d) 40 sq cm
  12. 12.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
  13. 13.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 180 sq cm (c) 29 sq cm (d) 58 sq cm
  14. 14.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 24 cm (b) 38 cm (c) 140 cm (d) 48 cm
  15. 15.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 32 cm
  16. 16.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 95 sq cm (c) 114 sq cm (d) 48 sq cm
  17. 17.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 72 sq cm (c) 90 sq cm (d) 22 sq cm
  18. 18.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 14 cm (d) 16 cm
  19. 19.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 42 cm (c) 108 cm (d) 48 cm
  20. 20.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 19 sq cm (b) 91 sq cm (c) 38 sq cm (d) 78 sq cm
  21. 21.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 26 cm (d) 13 cm
  22. 22.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
  23. 23.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 19 cm (d) 11 cm
  24. 24.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 18 cm (c) 36 cm (d) 28 cm
  25. 25.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 90 sq cm (d) 108 sq cm
  26. 26.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 30 cm (b) 23 cm (c) 56 cm (d) 15 cm
  27. 27.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 30 cm (d) 52 cm
  28. 28.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 9 cm (c) 126 cm (d) 8 cm
  29. 29.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 41 cm (c) 50 cm (d) 25 cm
  30. 30.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  31. 31.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 9 cm (c) 19 cm (d) 18 cm
  32. 32.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  33. 33.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 60 cm (c) 32 cm (d) 16 cm
  34. 34.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 39 sq cm (c) 26 sq cm (d) 30 sq cm
  35. 35.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 256 sq cm (d) 30 sq cm
  36. 36.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 78 cm
  37. 37.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 32 cm (b) 21 cm (c) 110 cm (d) 42 cm
  38. 38.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 4 cm (c) 20 cm (d) 2 cm
  39. 39.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 15 cm (c) 2 cm (d) 3 cm
  40. 40.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 24 sq cm (c) 9 sq cm (d) 18 sq cm

Answer key

  1. 90 sq cm
  2. 120 sq cm
  3. 2 cm
  4. 36 sq cm
  5. 169 sq cm
  6. 49 sq cm
  7. 20 cm
  8. 140 sq cm
  9. 30 sq cm
  10. 4 cm
  11. 100 sq cm
  12. 196 sq cm
  13. 180 sq cm
  14. 48 cm
  15. 3 cm
  16. 95 sq cm
  17. 72 sq cm
  18. 18 cm
  19. 48 cm
  20. 78 sq cm
  21. 26 cm
  22. 81 sq cm
  23. 22 cm
  24. 36 cm
  25. 90 sq cm
  26. 30 cm
  27. 34 cm
  28. 8 cm
  29. 50 cm
  30. 25 sq cm
  31. 18 cm
  32. 121 sq cm
  33. 32 cm
  34. 26 sq cm
  35. 225 sq cm
  36. 7 cm
  37. 42 cm
  38. 2 cm
  39. 2 cm
  40. 18 sq cm

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