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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 244 · 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 has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 140 cm
  2. 2.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 36 cm
  3. 3.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 108 sq cm (c) 126 sq cm (d) 24 sq cm
  4. 4.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 36 sq cm (d) 18 sq cm
  5. 5.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 22 sq cm (b) 112 sq cm (c) 96 sq cm (d) 44 sq cm
  6. 6.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 28 cm (c) 66 cm (d) 34 cm
  7. 7.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 112 cm (d) 39 cm
  8. 8.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 22 cm (d) 13 cm
  9. 9.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 17 sq cm (b) 65 sq cm (c) 34 sq cm (d) 52 sq cm
  10. 10.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 19 sq cm (c) 18 sq cm (d) 9 sq cm
  11. 11.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
  12. 12.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 108 cm (c) 42 cm (d) 33 cm
  13. 13.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 13 cm (c) 187 cm (d) 24 cm
  14. 14.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 99 cm (b) 31 cm (c) 20 cm (d) 40 cm
  15. 15.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 42 cm (c) 17 cm (d) 34 cm
  16. 16.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 18 cm (d) 20 cm
  17. 17.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 143 cm (b) 48 cm (c) 37 cm (d) 24 cm
  18. 18.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 14 cm (c) 72 cm (d) 7 cm
  19. 19.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 220 cm
  20. 20.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
  21. 21.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 21 sq cm (b) 96 sq cm (c) 42 sq cm (d) 80 sq cm
  22. 22.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 260 sq cm (c) 240 sq cm (d) 32 sq cm
  23. 23.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 15 sq cm (c) 56 sq cm (d) 30 sq cm
  24. 24.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 20 sq cm (b) 90 sq cm (c) 40 sq cm (d) 75 sq cm
  25. 25.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 81 sq cm (d) 32 sq cm
  26. 26.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 121 sq cm (c) 110 sq cm (d) 21 sq cm
  27. 27.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 34 cm (c) 60 cm (d) 17 cm
  28. 28.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 45 sq cm (c) 30 sq cm (d) 34 sq cm
  29. 29.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  30. 30.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 7 cm (c) 90 cm (d) 6 cm
  31. 31.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 169 sq cm (d) 24 sq cm
  32. 32.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 30 sq cm (c) 55 sq cm (d) 15 sq cm
  33. 33.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 54 sq cm (b) 20 sq cm (c) 40 sq cm (d) 36 sq cm
  34. 34.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 63 cm
  35. 35.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 38 cm (b) 48 cm (c) 19 cm (d) 35 cm
  36. 36.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 35 cm (c) 24 cm (d) 19 cm
  37. 37.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 14 cm (c) 8 cm (d) 7 cm
  38. 38.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 9 cm (d) 18 cm
  39. 39.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  40. 40.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 30 cm (c) 34 cm (d) 17 cm

Answer key

  1. 11 cm
  2. 4 cm
  3. 108 sq cm
  4. 81 sq cm
  5. 96 sq cm
  6. 34 cm
  7. 46 cm
  8. 26 cm
  9. 52 sq cm
  10. 18 sq cm
  11. 100 sq cm
  12. 42 cm
  13. 12 cm
  14. 40 cm
  15. 34 cm
  16. 20 cm
  17. 48 cm
  18. 7 cm
  19. 12 cm
  20. 196 sq cm
  21. 80 sq cm
  22. 240 sq cm
  23. 56 sq cm
  24. 75 sq cm
  25. 64 sq cm
  26. 110 sq cm
  27. 34 cm
  28. 30 sq cm
  29. 36 sq cm
  30. 6 cm
  31. 144 sq cm
  32. 44 sq cm
  33. 36 sq cm
  34. 8 cm
  35. 38 cm
  36. 24 cm
  37. 7 cm
  38. 18 cm
  39. 225 sq cm
  40. 34 cm

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