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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 790 · 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 square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  2. 2.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 34 cm
  3. 3.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 37 cm (c) 48 cm (d) 143 cm
  4. 4.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 108 cm (b) 42 cm (c) 33 cm (d) 21 cm
  5. 5.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 225 sq cm (d) 56 sq cm
  6. 6.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 56 sq cm (b) 70 sq cm (c) 18 sq cm (d) 36 sq cm
  7. 7.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 54 cm (b) 42 cm (c) 21 cm (d) 39 cm
  8. 8.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 42 cm (d) 38 cm
  9. 9.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 20 sq cm (d) 10 sq cm
  10. 10.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 9 cm (c) 18 cm (d) 15 cm
  11. 11.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 228 sq cm (b) 30 sq cm (c) 60 sq cm (d) 209 sq cm
  12. 12.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
  13. 13.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 11 sq cm (d) 30 sq cm
  14. 14.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 36 cm (c) 13 cm (d) 26 cm
  15. 15.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
  16. 16.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 4 cm (c) 3 cm (d) 2 cm
  17. 17.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 8 cm (c) 6 cm (d) 3 cm
  18. 18.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  19. 19.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  20. 20.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 130 cm (c) 22 cm (d) 12 cm
  21. 21.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 10 cm (c) 162 cm (d) 20 cm
  22. 22.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 40 sq cm (c) 30 sq cm (d) 26 sq cm
  23. 23.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
  24. 24.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 30 sq cm (c) 45 sq cm (d) 34 sq cm
  25. 25.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 133 cm (c) 52 cm (d) 45 cm
  26. 26.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 16 sq cm (c) 32 sq cm (d) 60 sq cm
  27. 27.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 30 sq cm (c) 36 sq cm (d) 15 sq cm
  28. 28.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 50 sq cm (c) 25 sq cm (d) 100 sq cm
  29. 29.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 3 cm (c) 38 cm (d) 4 cm
  30. 30.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 16 cm (d) 14 cm
  31. 31.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) 5 cm (d) 54 cm
  32. 32.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 11 cm (d) 22 cm
  33. 33.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 36 cm (c) 18 cm (d) 34 cm
  34. 34.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 60 sq cm (d) 16 sq cm
  35. 35.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 45 cm
  36. 36.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 6 cm (c) 4 cm (d) 3 cm
  37. 37.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 21 cm (d) 17 cm
  38. 38.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 91 cm (b) 20 cm (c) 40 cm (d) 33 cm
  39. 39.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 22 cm (b) 112 cm (c) 44 cm (d) 36 cm
  40. 40.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 27 sq cm (b) 162 sq cm (c) 54 sq cm (d) 180 sq cm

Answer key

  1. 225 sq cm
  2. 3 cm
  3. 48 cm
  4. 42 cm
  5. 196 sq cm
  6. 56 sq cm
  7. 42 cm
  8. 42 cm
  9. 24 sq cm
  10. 18 cm
  11. 209 sq cm
  12. 121 sq cm
  13. 30 sq cm
  14. 26 cm
  15. 49 sq cm
  16. 2 cm
  17. 3 cm
  18. 36 sq cm
  19. 100 sq cm
  20. 11 cm
  21. 10 cm
  22. 30 sq cm
  23. 64 sq cm
  24. 30 sq cm
  25. 52 cm
  26. 60 sq cm
  27. 36 sq cm
  28. 100 sq cm
  29. 3 cm
  30. 16 cm
  31. 4 cm
  32. 22 cm
  33. 36 cm
  34. 48 sq cm
  35. 4 cm
  36. 3 cm
  37. 20 cm
  38. 40 cm
  39. 44 cm
  40. 162 sq cm

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