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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 814 · 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 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 42 sq cm (c) 21 sq cm (d) 72 sq cm
  2. 2.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 12 cm (c) 6 cm (d) 7 cm
  3. 3.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 24 cm (c) 15 cm (d) 54 cm
  4. 4.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  5. 5.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 18 sq cm (d) 14 sq cm
  6. 6.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 30 sq cm
  7. 7.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 21 sq cm (c) 10 sq cm (d) 20 sq cm
  8. 8.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 65 cm
  9. 9.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  10. 10.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
  11. 11.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 48 sq cm (d) 36 sq cm
  12. 12.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  13. 13.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 198 cm (c) 12 cm (d) 24 cm
  14. 14.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
  15. 15.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 28 sq cm (b) 180 sq cm (c) 56 sq cm (d) 198 sq cm
  16. 16.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 22 sq cm (c) 11 sq cm (d) 28 sq cm
  17. 17.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
  18. 18.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 135 cm
  19. 19.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 6 cm (c) 5 cm (d) 10 cm
  20. 20.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 48 sq cm (d) 169 sq cm
  21. 21.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 28 cm (c) 26 cm (d) 15 cm
  22. 22.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
  23. 23.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 36 cm (c) 18 cm (d) 45 cm
  24. 24.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 120 cm (b) 10 cm (c) 18 cm (d) 9 cm
  25. 25.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 136 sq cm (d) 153 sq cm
  26. 26.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 35 cm (b) 23 cm (c) 132 cm (d) 46 cm
  27. 27.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 45 sq cm (c) 28 sq cm (d) 14 sq cm
  28. 28.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 19 cm (c) 9 cm (d) 15 cm
  29. 29.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 104 sq cm (c) 117 sq cm (d) 21 sq cm
  30. 30.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
  31. 31.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
  32. 32.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 44 cm (d) 170 cm
  33. 33.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 43 cm (b) 95 cm (c) 24 cm (d) 48 cm
  34. 34.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 38 cm
  35. 35.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 140 cm (c) 16 cm (d) 9 cm
  36. 36.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 32 sq cm (c) 16 sq cm (d) 39 sq cm
  37. 37.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 70 cm
  38. 38.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 55 sq cm (b) 16 sq cm (c) 32 sq cm (d) 66 sq cm
  39. 39.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 90 cm (b) 6 cm (c) 7 cm (d) 12 cm
  40. 40.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 32 cm (c) 26 cm (d) 16 cm

Answer key

  1. 54 sq cm
  2. 6 cm
  3. 30 cm
  4. 100 sq cm
  5. 14 sq cm
  6. 24 sq cm
  7. 21 sq cm
  8. 6 cm
  9. 25 sq cm
  10. 121 sq cm
  11. 36 sq cm
  12. 49 sq cm
  13. 12 cm
  14. 225 sq cm
  15. 180 sq cm
  16. 28 sq cm
  17. 196 sq cm
  18. 10 cm
  19. 5 cm
  20. 144 sq cm
  21. 30 cm
  22. 18 sq cm
  23. 36 cm
  24. 9 cm
  25. 136 sq cm
  26. 46 cm
  27. 45 sq cm
  28. 18 cm
  29. 104 sq cm
  30. 36 sq cm
  31. 81 sq cm
  32. 54 cm
  33. 48 cm
  34. 3 cm
  35. 8 cm
  36. 39 sq cm
  37. 6 cm
  38. 55 sq cm
  39. 6 cm
  40. 32 cm

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