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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 462 · 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 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 42 cm (c) 20 cm (d) 26 cm
  2. 2.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 12 cm (b) 6 cm (c) 40 cm (d) 7 cm
  3. 3.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 31 sq cm (c) 220 sq cm (d) 62 sq cm
  4. 4.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  5. 5.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 10 cm (c) 108 cm (d) 20 cm
  6. 6.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 72 sq cm (b) 90 sq cm (c) 22 sq cm (d) 44 sq cm
  7. 7.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 26 cm (b) 43 cm (c) 52 cm (d) 153 cm
  8. 8.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
  9. 9.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 22 cm (c) 48 cm (d) 28 cm
  10. 10.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 28 sq cm (d) 22 sq cm
  11. 11.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 104 sq cm (d) 91 sq cm
  12. 12.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
  13. 13.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 28 cm (c) 26 cm (d) 14 cm
  14. 14.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 14 cm (c) 114 cm (d) 7 cm
  15. 15.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 43 cm (b) 60 cm (c) 46 cm (d) 23 cm
  16. 16.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 7 cm (c) 48 cm (d) 14 cm
  17. 17.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 24 sq cm (c) 12 sq cm (d) 35 sq cm
  18. 18.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 84 sq cm (c) 36 sq cm (d) 72 sq cm
  19. 19.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
  20. 20.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 41 cm (b) 24 cm (c) 48 cm (d) 119 cm
  21. 21.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 10 sq cm (c) 20 sq cm (d) 24 sq cm
  22. 22.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
  23. 23.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
  24. 24.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  25. 25.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 60 cm (b) 12 cm (c) 6 cm (d) 7 cm
  26. 26.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 34 cm (d) 52 cm
  27. 27.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 12 cm (d) 24 cm
  28. 28.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 15 cm
  29. 29.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 15 cm (d) 18 cm
  30. 30.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
  31. 31.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 11 cm (c) 130 cm (d) 22 cm
  32. 32.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 18 cm
  33. 33.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 143 cm (b) 24 cm (c) 37 cm (d) 48 cm
  34. 34.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 190 cm (b) 58 cm (c) 29 cm (d) 48 cm
  35. 35.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 91 cm (b) 40 cm (c) 20 cm (d) 33 cm
  36. 36.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
  37. 37.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 10 cm (d) 16 cm
  38. 38.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 13 sq cm (d) 30 sq cm
  39. 39.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 209 sq cm (b) 58 sq cm (c) 29 sq cm (d) 190 sq cm
  40. 40.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 20 cm (d) 10 cm

Answer key

  1. 26 cm
  2. 6 cm
  3. 220 sq cm
  4. 169 sq cm
  5. 10 cm
  6. 72 sq cm
  7. 52 cm
  8. 64 sq cm
  9. 28 cm
  10. 28 sq cm
  11. 91 sq cm
  12. 26 cm
  13. 28 cm
  14. 7 cm
  15. 46 cm
  16. 7 cm
  17. 35 sq cm
  18. 72 sq cm
  19. 100 sq cm
  20. 48 cm
  21. 16 sq cm
  22. 36 sq cm
  23. 225 sq cm
  24. 25 sq cm
  25. 6 cm
  26. 34 cm
  27. 24 cm
  28. 4 cm
  29. 18 cm
  30. 22 cm
  31. 11 cm
  32. 3 cm
  33. 48 cm
  34. 58 cm
  35. 40 cm
  36. 140 sq cm
  37. 20 cm
  38. 30 sq cm
  39. 190 sq cm
  40. 20 cm

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