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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 414 · 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 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 12 sq cm (d) 32 sq cm
  2. 2.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
  3. 3.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 5 cm (c) 36 cm (d) 4 cm
  4. 4.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 15 cm (c) 18 cm (d) 9 cm
  5. 5.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 55 cm (b) 6 cm (c) 7 cm (d) 12 cm
  6. 6.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
  7. 7.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 68 cm (c) 42 cm (d) 21 cm
  8. 8.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 22 cm (c) 17 cm (d) 11 cm
  9. 9.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 84 cm (c) 31 cm (d) 38 cm
  10. 10.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) 18 cm (d) 9 cm
  11. 11.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 160 cm (b) 48 cm (c) 28 cm (d) 56 cm
  12. 12.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
  13. 13.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 12 sq cm (d) 20 sq cm
  14. 14.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 19 sq cm (d) 9 sq cm
  15. 15.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 26 sq cm (c) 13 sq cm (d) 33 sq cm
  16. 16.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 58 cm (b) 46 cm (c) 29 cm (d) 204 cm
  17. 17.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 84 cm (c) 8 cm (d) 16 cm
  18. 18.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 120 sq cm (d) 132 sq cm
  19. 19.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 28 cm (c) 36 cm (d) 18 cm
  20. 20.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 2 cm (b) 14 cm (c) 4 cm (d) 3 cm
  21. 21.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
  22. 22.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 12 cm (c) 21 cm (d) 24 cm
  23. 23.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
  24. 24.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 12 cm (c) 22 cm (d) 11 cm
  25. 25.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 20 cm (b) 11 cm (c) 171 cm (d) 10 cm
  26. 26.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 19 cm (d) 24 cm
  27. 27.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 15 sq cm (c) 36 sq cm (d) 30 sq cm
  28. 28.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
  29. 29.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 30 sq cm (d) 24 sq cm
  30. 30.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 80 cm
  31. 31.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 143 sq cm (c) 156 sq cm (d) 48 sq cm
  32. 32.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 180 sq cm (c) 27 sq cm (d) 54 sq cm
  33. 33.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 60 sq cm (c) 50 sq cm (d) 30 sq cm
  34. 34.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 117 sq cm (d) 104 sq cm
  35. 35.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  36. 36.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 14 sq cm (c) 48 sq cm (d) 28 sq cm
  37. 37.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 72 sq cm (b) 90 sq cm (c) 44 sq cm (d) 22 sq cm
  38. 38.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 46 sq cm (b) 128 sq cm (c) 112 sq cm (d) 23 sq cm
  39. 39.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 40 sq cm (c) 22 sq cm (d) 44 sq cm
  40. 40.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

Answer key

  1. 32 sq cm
  2. 81 sq cm
  3. 4 cm
  4. 18 cm
  5. 6 cm
  6. 225 sq cm
  7. 42 cm
  8. 22 cm
  9. 38 cm
  10. 9 cm
  11. 56 cm
  12. 36 sq cm
  13. 20 sq cm
  14. 18 sq cm
  15. 22 sq cm
  16. 58 cm
  17. 8 cm
  18. 120 sq cm
  19. 36 cm
  20. 2 cm
  21. 144 sq cm
  22. 24 cm
  23. 25 sq cm
  24. 11 cm
  25. 10 cm
  26. 22 cm
  27. 36 sq cm
  28. 90 sq cm
  29. 24 sq cm
  30. 6 cm
  31. 143 sq cm
  32. 180 sq cm
  33. 50 sq cm
  34. 104 sq cm
  35. 169 sq cm
  36. 48 sq cm
  37. 72 sq cm
  38. 112 sq cm
  39. 40 sq cm
  40. 121 sq cm

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