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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 476 · 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 is 15 cm long and 9 cm wide. What is its perimeter? (a) 24 cm (b) 39 cm (c) 48 cm (d) 135 cm
  2. 2.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 7 cm (c) 75 cm (d) 12 cm
  3. 3.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 6 cm (c) 40 cm (d) 5 cm
  4. 4.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 80 cm (c) 9 cm (d) 10 cm
  5. 5.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
  6. 6.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 108 cm
  7. 7.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 32 cm (b) 42 cm (c) 110 cm (d) 21 cm
  8. 8.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 133 sq cm (b) 26 sq cm (c) 52 sq cm (d) 152 sq cm
  9. 9.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 8 cm
  10. 10.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 128 sq cm (c) 23 sq cm (d) 46 sq cm
  11. 11.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 3 cm (c) 2 cm (d) 4 cm
  12. 12.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
  13. 13.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 4 cm (c) 6 cm (d) 3 cm
  14. 14.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 209 sq cm (d) 190 sq cm
  15. 15.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 20 cm (b) 162 cm (c) 11 cm (d) 10 cm
  16. 16.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 36 sq cm (d) 24 sq cm
  17. 17.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  18. 18.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 57 cm
  19. 19.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
  20. 20.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 48 sq cm (b) 143 sq cm (c) 24 sq cm (d) 156 sq cm
  21. 21.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 26 cm (c) 22 cm (d) 13 cm
  22. 22.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 120 cm (c) 52 cm (d) 26 cm
  23. 23.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 35 sq cm (c) 11 sq cm (d) 22 sq cm
  24. 24.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 22 cm (b) 37 cm (c) 105 cm (d) 44 cm
  25. 25.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
  26. 26.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 80 sq cm (d) 64 sq cm
  27. 27.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 90 sq cm (d) 80 sq cm
  28. 28.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 39 cm (c) 25 cm (d) 50 cm
  29. 29.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 11 sq cm (d) 22 sq cm
  30. 30.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 96 sq cm (c) 22 sq cm (d) 44 sq cm
  31. 31.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 66 cm (c) 14 cm (d) 8 cm
  32. 32.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 14 cm (c) 48 cm (d) 7 cm
  33. 33.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 52 cm (c) 30 cm (d) 17 cm
  34. 34.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 40 cm (c) 24 cm (d) 28 cm
  35. 35.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 144 cm (b) 20 cm (c) 11 cm (d) 10 cm
  36. 36.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 10 cm (c) 16 cm (d) 20 cm
  37. 37.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 187 cm (c) 13 cm (d) 12 cm
  38. 38.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 90 sq cm (d) 108 sq cm
  39. 39.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 11 cm (c) 22 cm (d) 12 cm
  40. 40.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 91 cm (b) 8 cm (c) 9 cm (d) 16 cm

Answer key

  1. 48 cm
  2. 6 cm
  3. 5 cm
  4. 9 cm
  5. 100 sq cm
  6. 10 cm
  7. 42 cm
  8. 133 sq cm
  9. 2 cm
  10. 112 sq cm
  11. 2 cm
  12. 196 sq cm
  13. 3 cm
  14. 190 sq cm
  15. 10 cm
  16. 24 sq cm
  17. 64 sq cm
  18. 4 cm
  19. 25 sq cm
  20. 143 sq cm
  21. 26 cm
  22. 52 cm
  23. 28 sq cm
  24. 44 cm
  25. 121 sq cm
  26. 64 sq cm
  27. 80 sq cm
  28. 50 cm
  29. 30 sq cm
  30. 96 sq cm
  31. 7 cm
  32. 7 cm
  33. 34 cm
  34. 28 cm
  35. 10 cm
  36. 20 cm
  37. 12 cm
  38. 90 sq cm
  39. 11 cm
  40. 8 cm

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