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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 873 · 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 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 18 cm (c) 9 cm (d) 10 cm
  2. 2.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 20 sq cm (d) 40 sq cm
  3. 3.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 14 cm (d) 22 cm
  4. 4.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 24 cm (c) 44 cm (d) 48 cm
  5. 5.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
  6. 6.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 100 cm (c) 7 cm (d) 12 cm
  7. 7.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 11 sq cm (d) 24 sq cm
  8. 8.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 90 sq cm (c) 23 sq cm (d) 46 sq cm
  9. 9.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 27 sq cm (c) 11 sq cm (d) 22 sq cm
  10. 10.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 120 cm (c) 11 cm (d) 12 cm
  11. 11.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 30 sq cm (d) 20 sq cm
  12. 12.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 143 cm (d) 37 cm
  13. 13.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
  14. 14.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 18 cm (c) 160 cm (d) 10 cm
  15. 15.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 64 sq cm (b) 40 sq cm (c) 80 sq cm (d) 20 sq cm
  16. 16.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
  17. 17.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 25 cm (b) 144 cm (c) 41 cm (d) 50 cm
  18. 18.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 35 cm (b) 44 cm (c) 117 cm (d) 22 cm
  19. 19.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 187 cm
  20. 20.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 40 sq cm (d) 50 sq cm
  21. 21.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 10 cm (d) 2 cm
  22. 22.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 136 cm (c) 10 cm (d) 9 cm
  23. 23.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 44 sq cm (d) 55 sq cm
  24. 24.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  25. 25.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 220 cm (c) 13 cm (d) 24 cm
  26. 26.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 22 sq cm (b) 112 sq cm (c) 126 sq cm (d) 44 sq cm
  27. 27.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 26 cm (c) 34 cm (d) 72 cm
  28. 28.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm
  29. 29.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
  30. 30.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 20 cm (c) 13 cm (d) 26 cm
  31. 31.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 110 cm (b) 32 cm (c) 21 cm (d) 42 cm
  32. 32.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 54 sq cm (b) 160 sq cm (c) 27 sq cm (d) 140 sq cm
  33. 33.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 25 cm (c) 14 cm (d) 28 cm
  34. 34.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
  35. 35.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
  36. 36.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
  37. 37.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 16 cm
  38. 38.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 8 cm (c) 48 cm (d) 5 cm
  39. 39.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 34 cm (c) 32 cm (d) 36 cm
  40. 40.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 54 sq cm (c) 63 sq cm (d) 15 sq cm

Answer key

  1. 9 cm
  2. 100 sq cm
  3. 28 cm
  4. 48 cm
  5. 196 sq cm
  6. 6 cm
  7. 24 sq cm
  8. 90 sq cm
  9. 18 sq cm
  10. 11 cm
  11. 24 sq cm
  12. 48 cm
  13. 36 sq cm
  14. 9 cm
  15. 64 sq cm
  16. 25 sq cm
  17. 50 cm
  18. 44 cm
  19. 12 cm
  20. 40 sq cm
  21. 2 cm
  22. 9 cm
  23. 44 sq cm
  24. 144 sq cm
  25. 12 cm
  26. 112 sq cm
  27. 34 cm
  28. 169 sq cm
  29. 225 sq cm
  30. 26 cm
  31. 42 cm
  32. 140 sq cm
  33. 28 cm
  34. 30 cm
  35. 32 cm
  36. 64 sq cm
  37. 2 cm
  38. 4 cm
  39. 36 cm
  40. 54 sq cm

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