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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 983 · 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 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 3 cm (c) 8 cm (d) 4 cm
  2. 2.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 35 cm (b) 23 cm (c) 46 cm (d) 132 cm
  3. 3.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
  4. 4.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 68 sq cm (c) 51 sq cm (d) 20 sq cm
  5. 5.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 20 cm (c) 11 cm (d) 10 cm
  6. 6.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 70 cm (b) 7 cm (c) 12 cm (d) 6 cm
  7. 7.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
  8. 8.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 30 cm (c) 48 cm (d) 60 cm
  9. 9.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 24 cm
  10. 10.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 28 sq cm (c) 10 sq cm (d) 20 sq cm
  11. 11.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 10 cm (c) 152 cm (d) 9 cm
  12. 12.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 57 sq cm (c) 76 sq cm (d) 44 sq cm
  13. 13.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 22 cm (b) 37 cm (c) 44 cm (d) 105 cm
  14. 14.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 187 sq cm (d) 170 sq cm
  15. 15.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
  16. 16.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 54 cm (c) 15 cm (d) 30 cm
  17. 17.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
  18. 18.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 23 sq cm (c) 128 sq cm (d) 46 sq cm
  19. 19.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 16 sq cm (c) 63 sq cm (d) 32 sq cm
  20. 20.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 54 sq cm (c) 30 sq cm (d) 63 sq cm
  21. 21.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 38 sq cm (c) 19 sq cm (d) 51 sq cm
  22. 22.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 98 sq cm (b) 84 sq cm (c) 40 sq cm (d) 20 sq cm
  23. 23.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 11 sq cm (d) 22 sq cm
  24. 24.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 120 cm (b) 46 cm (c) 23 cm (d) 38 cm
  25. 25.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  26. 26.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 40 cm (d) 168 cm
  27. 27.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 16 cm (d) 18 cm
  28. 28.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 6 cm (c) 10 cm (d) 4 cm
  29. 29.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
  30. 30.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 50 cm (c) 41 cm (d) 25 cm
  31. 31.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 169 sq cm (d) 48 sq cm
  32. 32.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 41 cm (c) 90 cm (d) 46 cm
  33. 33.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 160 sq cm (d) 25 sq cm
  34. 34.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  35. 35.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 126 sq cm (b) 46 sq cm (c) 23 sq cm (d) 140 sq cm
  36. 36.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 64 sq cm (d) 56 sq cm
  37. 37.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 15 sq cm (c) 30 sq cm (d) 50 sq cm
  38. 38.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 54 sq cm (c) 162 sq cm (d) 27 sq cm
  39. 39.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 51 cm (b) 37 cm (c) 40 cm (d) 20 cm
  40. 40.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm

Answer key

  1. 3 cm
  2. 46 cm
  3. 25 sq cm
  4. 51 sq cm
  5. 10 cm
  6. 6 cm
  7. 10 cm
  8. 60 cm
  9. 3 cm
  10. 21 sq cm
  11. 9 cm
  12. 57 sq cm
  13. 44 cm
  14. 170 sq cm
  15. 225 sq cm
  16. 30 cm
  17. 38 cm
  18. 112 sq cm
  19. 63 sq cm
  20. 54 sq cm
  21. 34 sq cm
  22. 84 sq cm
  23. 24 sq cm
  24. 46 cm
  25. 49 sq cm
  26. 52 cm
  27. 20 cm
  28. 3 cm
  29. 169 sq cm
  30. 50 cm
  31. 144 sq cm
  32. 46 cm
  33. 144 sq cm
  34. 64 sq cm
  35. 126 sq cm
  36. 56 sq cm
  37. 50 sq cm
  38. 162 sq cm
  39. 40 cm
  40. 121 sq cm

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