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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 368 · 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 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 7 cm (c) 8 cm (d) 14 cm
  2. 2.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 100 sq cm (d) 90 sq cm
  3. 3.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
  4. 4.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 24 cm (c) 19 cm (d) 12 cm
  5. 5.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
  6. 6.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 9 sq cm (d) 18 sq cm
  7. 7.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 170 sq cm (c) 26 sq cm (d) 52 sq cm
  8. 8.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 60 cm (c) 200 cm (d) 30 cm
  9. 9.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 108 cm (c) 20 cm (d) 10 cm
  10. 10.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 24 cm (d) 20 cm
  11. 11.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 15 sq cm (c) 48 sq cm (d) 30 sq cm
  12. 12.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
  13. 13.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 3 cm (c) 2 cm (d) 4 cm
  14. 14.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 30 cm (c) 36 cm (d) 15 cm
  15. 15.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 7 cm (c) 85 cm (d) 6 cm
  16. 16.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 187 cm
  17. 17.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 16 cm
  18. 18.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 104 cm (c) 18 cm (d) 10 cm
  19. 19.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 7 cm (c) 14 cm (d) 8 cm
  20. 20.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 8 cm (c) 90 cm (d) 14 cm
  21. 21.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 143 cm (c) 24 cm (d) 13 cm
  22. 22.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 160 cm (b) 9 cm (c) 10 cm (d) 18 cm
  23. 23.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 99 cm
  24. 24.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 22 sq cm (c) 35 sq cm (d) 11 sq cm
  25. 25.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 16 sq cm (d) 18 sq cm
  26. 26.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 42 cm (c) 13 cm (d) 26 cm
  27. 27.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 22 cm (c) 12 cm (d) 11 cm
  28. 28.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 42 cm (c) 38 cm (d) 21 cm
  29. 29.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 40 sq cm (d) 32 sq cm
  30. 30.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 36 sq cm (d) 11 sq cm
  31. 31.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 24 sq cm (d) 11 sq cm
  32. 32.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 60 sq cm (c) 15 sq cm (d) 30 sq cm
  33. 33.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
  34. 34.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 70 sq cm (c) 16 sq cm (d) 60 sq cm
  35. 35.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 10 sq cm (d) 20 sq cm
  36. 36.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 56 cm (b) 180 cm (c) 28 cm (d) 46 cm
  37. 37.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 160 sq cm (d) 144 sq cm
  38. 38.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 180 sq cm (d) 198 sq cm
  39. 39.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 33 cm (b) 8 cm (c) 5 cm (d) 4 cm
  40. 40.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 6 cm (c) 60 cm (d) 12 cm

Answer key

  1. 7 cm
  2. 90 sq cm
  3. 144 sq cm
  4. 24 cm
  5. 121 sq cm
  6. 14 sq cm
  7. 153 sq cm
  8. 60 cm
  9. 10 cm
  10. 20 cm
  11. 36 sq cm
  12. 196 sq cm
  13. 2 cm
  14. 30 cm
  15. 6 cm
  16. 12 cm
  17. 2 cm
  18. 9 cm
  19. 7 cm
  20. 7 cm
  21. 12 cm
  22. 9 cm
  23. 10 cm
  24. 28 sq cm
  25. 12 sq cm
  26. 26 cm
  27. 11 cm
  28. 42 cm
  29. 32 sq cm
  30. 30 sq cm
  31. 24 sq cm
  32. 50 sq cm
  33. 25 sq cm
  34. 60 sq cm
  35. 24 sq cm
  36. 56 cm
  37. 144 sq cm
  38. 180 sq cm
  39. 4 cm
  40. 6 cm

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