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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 330 · 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 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 20 cm (c) 99 cm (d) 10 cm
  2. 2.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  3. 3.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 60 cm (b) 34 cm (c) 19 cm (d) 38 cm
  4. 4.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 60 cm
  5. 5.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 12 sq cm (d) 40 sq cm
  6. 6.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 28 cm
  7. 7.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 32 sq cm (c) 63 sq cm (d) 16 sq cm
  8. 8.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  9. 9.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 35 sq cm (c) 22 sq cm (d) 11 sq cm
  10. 10.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 8 cm (b) 15 cm (c) 5 cm (d) 4 cm
  11. 11.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  12. 12.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 96 cm
  13. 13.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  14. 14.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 150 cm (c) 22 cm (d) 12 cm
  15. 15.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 30 cm (c) 52 cm (d) 17 cm
  16. 16.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 24 cm (d) 12 cm
  17. 17.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
  18. 18.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 45 sq cm (d) 30 sq cm
  19. 19.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 20 sq cm (d) 12 sq cm
  20. 20.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 187 cm
  21. 21.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 117 cm
  22. 22.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
  23. 23.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
  24. 24.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 126 cm (c) 10 cm (d) 11 cm
  25. 25.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 21 cm (c) 8 cm (d) 4 cm
  26. 26.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 90 sq cm (c) 46 sq cm (d) 23 sq cm
  27. 27.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 130 cm
  28. 28.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  29. 29.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 153 cm (b) 26 cm (c) 52 cm (d) 43 cm
  30. 30.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 12 cm (c) 22 cm (d) 11 cm
  31. 31.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 14 cm (b) 7 cm (c) 48 cm (d) 8 cm
  32. 32.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 16 sq cm (c) 24 sq cm (d) 20 sq cm
  33. 33.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 11 cm (c) 20 cm (d) 10 cm
  34. 34.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 22 cm (b) 112 cm (c) 36 cm (d) 44 cm
  35. 35.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 24 sq cm (d) 9 sq cm
  36. 36.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 77 cm (c) 9 cm (d) 8 cm
  37. 37.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
  38. 38.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 84 cm
  39. 39.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 19 cm (b) 29 cm (c) 90 cm (d) 38 cm
  40. 40.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 10 sq cm (d) 24 sq cm

Answer key

  1. 10 cm
  2. 81 sq cm
  3. 38 cm
  4. 4 cm
  5. 32 sq cm
  6. 5 cm
  7. 63 sq cm
  8. 49 sq cm
  9. 28 sq cm
  10. 4 cm
  11. 25 sq cm
  12. 9 cm
  13. 169 sq cm
  14. 11 cm
  15. 34 cm
  16. 24 cm
  17. 225 sq cm
  18. 30 sq cm
  19. 20 sq cm
  20. 12 cm
  21. 10 cm
  22. 36 sq cm
  23. 2 cm
  24. 10 cm
  25. 4 cm
  26. 90 sq cm
  27. 11 cm
  28. 100 sq cm
  29. 52 cm
  30. 11 cm
  31. 7 cm
  32. 16 sq cm
  33. 10 cm
  34. 44 cm
  35. 18 sq cm
  36. 8 cm
  37. 104 sq cm
  38. 8 cm
  39. 38 cm
  40. 24 sq cm

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