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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 109 · 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 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  2. 2.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 32 sq cm (c) 36 sq cm (d) 48 sq cm
  3. 3.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 136 sq cm (d) 119 sq cm
  4. 4.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 20 cm (c) 40 cm (d) 75 cm
  5. 5.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 120 cm (b) 22 cm (c) 34 cm (d) 44 cm
  6. 6.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 63 sq cm (c) 72 sq cm (d) 16 sq cm
  7. 7.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 24 cm (d) 54 cm
  8. 8.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 48 sq cm (b) 143 sq cm (c) 156 sq cm (d) 24 sq cm
  9. 9.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  10. 10.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 42 sq cm (b) 98 sq cm (c) 112 sq cm (d) 21 sq cm
  11. 11.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
  12. 12.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 126 cm (d) 43 cm
  13. 13.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 54 sq cm (c) 40 sq cm (d) 20 sq cm
  14. 14.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 37 cm (d) 51 cm
  15. 15.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 16 sq cm (d) 18 sq cm
  16. 16.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 1 cm (b) 2 cm (c) 4 cm (d) 3 cm
  17. 17.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
  18. 18.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  19. 19.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 36 cm (c) 8 cm (d) 5 cm
  20. 20.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 162 cm (b) 45 cm (c) 54 cm (d) 27 cm
  21. 21.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 18 cm (c) 19 cm (d) 9 cm
  22. 22.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 180 cm (b) 42 cm (c) 54 cm (d) 27 cm
  23. 23.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 40 sq cm (d) 12 sq cm
  24. 24.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 19 cm (b) 78 cm (c) 32 cm (d) 38 cm
  25. 25.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 10 cm (c) 5 cm (d) 6 cm
  26. 26.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 19 sq cm (d) 24 sq cm
  27. 27.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 78 sq cm (b) 38 sq cm (c) 19 sq cm (d) 91 sq cm
  28. 28.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
  29. 29.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 28 sq cm (d) 35 sq cm
  30. 30.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 12 cm (c) 55 cm (d) 7 cm
  31. 31.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 77 cm (c) 16 cm (d) 8 cm
  32. 32.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  33. 33.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 35 cm
  34. 34.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  35. 35.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 48 sq cm (c) 32 sq cm (d) 16 sq cm
  36. 36.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 14 cm (c) 4 cm (d) 3 cm
  37. 37.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 144 sq cm (d) 162 sq cm
  38. 38.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 11 cm (c) 17 cm (d) 22 cm
  39. 39.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 42 sq cm (d) 13 sq cm
  40. 40.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm

Answer key

  1. 64 sq cm
  2. 32 sq cm
  3. 119 sq cm
  4. 40 cm
  5. 44 cm
  6. 63 sq cm
  7. 30 cm
  8. 143 sq cm
  9. 121 sq cm
  10. 98 sq cm
  11. 169 sq cm
  12. 50 cm
  13. 36 sq cm
  14. 40 cm
  15. 12 sq cm
  16. 2 cm
  17. 225 sq cm
  18. 49 sq cm
  19. 4 cm
  20. 54 cm
  21. 18 cm
  22. 54 cm
  23. 32 sq cm
  24. 38 cm
  25. 5 cm
  26. 18 sq cm
  27. 78 sq cm
  28. 36 sq cm
  29. 28 sq cm
  30. 6 cm
  31. 8 cm
  32. 25 sq cm
  33. 6 cm
  34. 81 sq cm
  35. 48 sq cm
  36. 3 cm
  37. 144 sq cm
  38. 22 cm
  39. 42 sq cm
  40. 196 sq cm

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