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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 437 · 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) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
  2. 2.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 65 cm (c) 36 cm (d) 31 cm
  3. 3.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 76 sq cm (c) 23 sq cm (d) 95 sq cm
  4. 4.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 28 sq cm (c) 160 sq cm (d) 56 sq cm
  5. 5.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 38 cm (c) 42 cm (d) 40 cm
  6. 6.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 21 sq cm (d) 28 sq cm
  7. 7.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 10 cm (c) 88 cm (d) 9 cm
  8. 8.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  9. 9.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 11 cm (c) 18 cm (d) 22 cm
  10. 10.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 26 sq cm (b) 144 sq cm (c) 162 sq cm (d) 52 sq cm
  11. 11.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
  12. 12.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 16 cm (c) 3 cm (d) 2 cm
  13. 13.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 8 cm (c) 14 cm (d) 7 cm
  14. 14.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 22 cm (c) 44 cm (d) 40 cm
  15. 15.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 40 cm (b) 37 cm (c) 51 cm (d) 20 cm
  16. 16.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 18 cm (c) 3 cm (d) 4 cm
  17. 17.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 18 cm (d) 10 cm
  18. 18.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 32 cm (d) 20 cm
  19. 19.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 38 cm (b) 22 cm (c) 96 cm (d) 44 cm
  20. 20.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 18 cm (c) 36 cm (d) 33 cm
  21. 21.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 30 cm (c) 4 cm (d) 8 cm
  22. 22.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 18 cm (c) 9 cm (d) 16 cm
  23. 23.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 45 cm
  24. 24.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 60 cm (c) 6 cm (d) 10 cm
  25. 25.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 16 cm (c) 9 cm (d) 8 cm
  26. 26.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 40 cm
  27. 27.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 32 cm (c) 18 cm (d) 56 cm
  28. 28.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 78 sq cm (c) 36 sq cm (d) 65 sq cm
  29. 29.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
  30. 30.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 36 cm (c) 26 cm (d) 22 cm
  31. 31.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  32. 32.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 17 cm (c) 31 cm (d) 34 cm
  33. 33.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 sq cm
  34. 34.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 2 cm (b) 13 cm (c) 4 cm (d) 3 cm
  35. 35.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 90 sq cm (c) 22 sq cm (d) 72 sq cm
  36. 36.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 48 cm (c) 7 cm (d) 14 cm
  37. 37.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  38. 38.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  39. 39.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 42 sq cm (d) 56 sq cm
  40. 40.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 25 cm (c) 32 cm (d) 16 cm

Answer key

  1. 225 sq cm
  2. 36 cm
  3. 76 sq cm
  4. 160 sq cm
  5. 42 cm
  6. 21 sq cm
  7. 9 cm
  8. 49 sq cm
  9. 22 cm
  10. 144 sq cm
  11. 121 sq cm
  12. 2 cm
  13. 7 cm
  14. 44 cm
  15. 40 cm
  16. 3 cm
  17. 20 cm
  18. 24 cm
  19. 44 cm
  20. 36 cm
  21. 4 cm
  22. 18 cm
  23. 4 cm
  24. 5 cm
  25. 8 cm
  26. 5 cm
  27. 36 cm
  28. 65 sq cm
  29. 100 sq cm
  30. 26 cm
  31. 81 sq cm
  32. 34 cm
  33. 64 sq cm
  34. 2 cm
  35. 72 sq cm
  36. 7 cm
  37. 36 sq cm
  38. 196 sq cm
  39. 42 sq cm
  40. 32 cm

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