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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 648 · 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 60 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 5 cm (c) 45 cm (d) 8 cm
  2. 2.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 42 sq cm (c) 104 sq cm (d) 21 sq cm
  3. 3.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
  4. 4.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 22 cm (c) 44 cm (d) 112 cm
  5. 5.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 16 cm (d) 10 cm
  6. 6.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 2 cm (c) 3 cm (d) 4 cm
  7. 7.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 11 sq cm (c) 36 sq cm (d) 22 sq cm
  8. 8.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 58 cm (c) 46 cm (d) 204 cm
  9. 9.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 133 cm (b) 9 cm (c) 16 cm (d) 8 cm
  10. 10.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  11. 11.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 75 cm (c) 7 cm (d) 6 cm
  12. 12.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 160 cm (b) 18 cm (c) 10 cm (d) 9 cm
  13. 13.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
  14. 14.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 14 cm (b) 33 cm (c) 25 cm (d) 28 cm
  15. 15.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 10 cm (c) 136 cm (d) 9 cm
  16. 16.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 10 cm (c) 180 cm (d) 20 cm
  17. 17.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 180 sq cm (d) 198 sq cm
  18. 18.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 25 cm (c) 50 cm (d) 39 cm
  19. 19.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  20. 20.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 176 sq cm (b) 27 sq cm (c) 192 sq cm (d) 54 sq cm
  21. 21.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
  22. 22.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 8 cm (c) 112 cm (d) 9 cm
  23. 23.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 2 cm (c) 12 cm (d) 3 cm
  24. 24.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
  25. 25.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 21 sq cm (c) 18 sq cm (d) 9 sq cm
  26. 26.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 30 cm (c) 25 cm (d) 15 cm
  27. 27.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 30 sq cm (d) 10 sq cm
  28. 28.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 200 sq cm (c) 58 sq cm (d) 180 sq cm
  29. 29.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 156 sq cm (d) 143 sq cm
  30. 30.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 100 sq cm (c) 25 sq cm (d) 120 sq cm
  31. 31.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 54 cm
  32. 32.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 30 cm (c) 60 cm (d) 49 cm
  33. 33.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 34 sq cm (b) 60 sq cm (c) 72 sq cm (d) 17 sq cm
  34. 34.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 28 sq cm (c) 42 sq cm (d) 16 sq cm
  35. 35.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 56 sq cm (c) 64 sq cm (d) 30 sq cm
  36. 36.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 176 cm
  37. 37.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 36 sq cm (d) 24 sq cm
  38. 38.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 11 cm (c) 18 cm (d) 22 cm
  39. 39.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 11 cm (c) 22 cm (d) 19 cm
  40. 40.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 12 cm (c) 22 cm (d) 11 cm

Answer key

  1. 4 cm
  2. 104 sq cm
  3. 121 sq cm
  4. 44 cm
  5. 20 cm
  6. 2 cm
  7. 30 sq cm
  8. 58 cm
  9. 8 cm
  10. 36 sq cm
  11. 6 cm
  12. 9 cm
  13. 49 sq cm
  14. 28 cm
  15. 9 cm
  16. 10 cm
  17. 180 sq cm
  18. 50 cm
  19. 64 sq cm
  20. 176 sq cm
  21. 25 sq cm
  22. 8 cm
  23. 2 cm
  24. 225 sq cm
  25. 14 sq cm
  26. 30 cm
  27. 24 sq cm
  28. 180 sq cm
  29. 143 sq cm
  30. 100 sq cm
  31. 4 cm
  32. 60 cm
  33. 60 sq cm
  34. 28 sq cm
  35. 56 sq cm
  36. 12 cm
  37. 24 sq cm
  38. 22 cm
  39. 22 cm
  40. 11 cm

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