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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 587 · 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 10 cm long and 6 cm wide. What is its perimeter? (a) 16 cm (b) 60 cm (c) 26 cm (d) 32 cm
  2. 2.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 90 sq cm (b) 105 sq cm (c) 21 sq cm (d) 42 sq cm
  3. 3.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 45 cm (b) 187 cm (c) 56 cm (d) 28 cm
  4. 4.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 75 cm (b) 6 cm (c) 12 cm (d) 7 cm
  5. 5.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 114 cm (b) 7 cm (c) 14 cm (d) 8 cm
  6. 6.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 64 sq cm (d) 80 sq cm
  7. 7.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  8. 8.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  9. 9.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 225 sq cm (d) 56 sq cm
  10. 10.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 63 cm (c) 9 cm (d) 8 cm
  11. 11.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 91 cm (b) 40 cm (c) 20 cm (d) 33 cm
  12. 12.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 10 cm (d) 16 cm
  13. 13.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 9 cm (c) 152 cm (d) 10 cm
  14. 14.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 41 cm (b) 24 cm (c) 119 cm (d) 48 cm
  15. 15.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  16. 16.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 105 cm (c) 9 cm (d) 16 cm
  17. 17.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 104 sq cm (c) 117 sq cm (d) 42 sq cm
  18. 18.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 15 cm (c) 30 cm (d) 50 cm
  19. 19.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 135 sq cm (c) 150 sq cm (d) 24 sq cm
  20. 20.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
  21. 21.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 16 cm (d) 8 cm
  22. 22.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 41 cm (b) 26 cm (c) 165 cm (d) 52 cm
  23. 23.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 45 sq cm (c) 14 sq cm (d) 54 sq cm
  24. 24.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 17 cm (b) 3 cm (c) 2 cm (d) 4 cm
  25. 25.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 46 sq cm (c) 23 sq cm (d) 80 sq cm
  26. 26.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 70 sq cm (d) 60 sq cm
  27. 27.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 84 cm (b) 16 cm (c) 8 cm (d) 9 cm
  28. 28.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 18 cm (d) 11 cm
  29. 29.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 180 sq cm (c) 27 sq cm (d) 195 sq cm
  30. 30.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 20 sq cm (b) 104 sq cm (c) 40 sq cm (d) 91 sq cm
  31. 31.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 45 cm (c) 5 cm (d) 4 cm
  32. 32.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 60 cm (c) 49 cm (d) 30 cm
  33. 33.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 112 cm (b) 36 cm (c) 44 cm (d) 22 cm
  34. 34.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 19 cm (c) 33 cm (d) 38 cm
  35. 35.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 13 cm (c) 12 cm (d) 24 cm
  36. 36.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 52 cm (c) 168 cm (d) 26 cm
  37. 37.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 27 sq cm (b) 160 sq cm (c) 140 sq cm (d) 54 sq cm
  38. 38.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 21 sq cm (c) 10 sq cm (d) 28 sq cm
  39. 39.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 34 cm (d) 36 cm
  40. 40.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 12 cm (c) 22 cm (d) 24 cm

Answer key

  1. 32 cm
  2. 90 sq cm
  3. 56 cm
  4. 6 cm
  5. 7 cm
  6. 64 sq cm
  7. 144 sq cm
  8. 25 sq cm
  9. 196 sq cm
  10. 8 cm
  11. 40 cm
  12. 20 cm
  13. 9 cm
  14. 48 cm
  15. 81 sq cm
  16. 8 cm
  17. 104 sq cm
  18. 30 cm
  19. 135 sq cm
  20. 121 sq cm
  21. 16 cm
  22. 52 cm
  23. 45 sq cm
  24. 2 cm
  25. 60 sq cm
  26. 60 sq cm
  27. 8 cm
  28. 22 cm
  29. 180 sq cm
  30. 91 sq cm
  31. 4 cm
  32. 60 cm
  33. 44 cm
  34. 38 cm
  35. 12 cm
  36. 52 cm
  37. 140 sq cm
  38. 21 sq cm
  39. 38 cm
  40. 24 cm

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