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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 543 · 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 128 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 8 cm (c) 112 cm (d) 16 cm
  2. 2.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 38 sq cm (b) 60 sq cm (c) 75 sq cm (d) 19 sq cm
  3. 3.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  4. 4.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 42 cm (b) 33 cm (c) 21 cm (d) 108 cm
  5. 5.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 10 cm (c) 56 cm (d) 5 cm
  6. 6.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 44 cm (c) 5 cm (d) 10 cm
  7. 7.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 32 cm (c) 16 cm (d) 28 cm
  8. 8.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 14 cm (c) 4 cm (d) 2 cm
  9. 9.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 20 cm
  10. 10.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 28 cm (d) 22 cm
  11. 11.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 23 sq cm (c) 46 sq cm (d) 132 sq cm
  12. 12.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 22 sq cm (d) 24 sq cm
  13. 13.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 75 sq cm (b) 40 sq cm (c) 20 sq cm (d) 90 sq cm
  14. 14.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 104 cm
  15. 15.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 42 sq cm (c) 96 sq cm (d) 21 sq cm
  16. 16.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 10 cm (d) 20 cm
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
  18. 18.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 152 cm (c) 10 cm (d) 18 cm
  19. 19.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 26 sq cm (c) 45 sq cm (d) 13 sq cm
  20. 20.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 10 sq cm (d) 21 sq cm
  21. 21.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 18 cm (b) 120 cm (c) 9 cm (d) 10 cm
  22. 22.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 38 cm (c) 19 cm (d) 90 cm
  23. 23.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 16 cm (c) 70 cm (d) 9 cm
  24. 24.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 7 cm (c) 114 cm (d) 14 cm
  25. 25.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
  26. 26.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 sq cm
  27. 27.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 14 sq cm (d) 28 sq cm
  28. 28.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 40 sq cm (c) 12 sq cm (d) 24 sq cm
  29. 29.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 49 sq cm (d) 14 sq cm
  30. 30.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 55 cm (c) 32 cm (d) 16 cm
  31. 31.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
  32. 32.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 72 sq cm (c) 81 sq cm (d) 34 sq cm
  33. 33.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 30 cm (c) 3 cm (d) 6 cm
  34. 34.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 28 cm (c) 40 cm (d) 14 cm
  35. 35.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 204 cm (b) 46 cm (c) 58 cm (d) 29 cm
  36. 36.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 12 cm (d) 35 cm
  37. 37.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 34 sq cm (c) 19 sq cm (d) 51 sq cm
  38. 38.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
  39. 39.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 48 cm (d) 14 cm
  40. 40.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 36 sq cm (c) 22 sq cm (d) 30 sq cm

Answer key

  1. 8 cm
  2. 60 sq cm
  3. 169 sq cm
  4. 42 cm
  5. 5 cm
  6. 5 cm
  7. 32 cm
  8. 2 cm
  9. 3 cm
  10. 22 cm
  11. 132 sq cm
  12. 24 sq cm
  13. 75 sq cm
  14. 9 cm
  15. 80 sq cm
  16. 20 cm
  17. 81 sq cm
  18. 9 cm
  19. 36 sq cm
  20. 21 sq cm
  21. 9 cm
  22. 38 cm
  23. 8 cm
  24. 7 cm
  25. 225 sq cm
  26. 64 sq cm
  27. 48 sq cm
  28. 32 sq cm
  29. 49 sq cm
  30. 32 cm
  31. 196 sq cm
  32. 72 sq cm
  33. 3 cm
  34. 28 cm
  35. 58 cm
  36. 24 cm
  37. 34 sq cm
  38. 25 sq cm
  39. 28 cm
  40. 30 sq cm

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