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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 826 · 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 120 sq cm and a length of 15 cm. What is its width? (a) 105 cm (b) 16 cm (c) 9 cm (d) 8 cm
  2. 2.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 18 sq cm (d) 9 sq cm
  3. 3.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 64 sq cm (c) 15 sq cm (d) 56 sq cm
  4. 4.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 46 sq cm (b) 144 sq cm (c) 23 sq cm (d) 132 sq cm
  5. 5.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 34 sq cm (d) 51 sq cm
  6. 6.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 140 sq cm (b) 160 sq cm (c) 54 sq cm (d) 27 sq cm
  7. 7.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 58 cm (c) 49 cm (d) 180 cm
  8. 8.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 44 cm (d) 15 cm
  9. 9.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  10. 10.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 43 cm (b) 26 cm (c) 52 cm (d) 153 cm
  11. 11.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 40 sq cm (d) 121 sq cm
  12. 12.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 48 sq cm (d) 128 sq cm
  13. 13.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 17 cm (c) 11 cm (d) 30 cm
  14. 14.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 10 cm (c) 160 cm (d) 9 cm
  15. 15.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
  16. 16.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 160 cm (c) 56 cm (d) 48 cm
  17. 17.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 220 cm (c) 24 cm (d) 12 cm
  18. 18.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 114 sq cm (b) 48 sq cm (c) 95 sq cm (d) 24 sq cm
  19. 19.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 24 cm (c) 165 cm (d) 13 cm
  20. 20.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  21. 21.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 60 cm (c) 10 cm (d) 6 cm
  22. 22.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 10 cm (c) 24 cm (d) 5 cm
  23. 23.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 22 cm (c) 130 cm (d) 11 cm
  24. 24.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
  25. 25.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  26. 26.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 26 cm (c) 34 cm (d) 72 cm
  27. 27.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 63 cm (b) 8 cm (c) 16 cm (d) 9 cm
  28. 28.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 195 sq cm (c) 180 sq cm (d) 27 sq cm
  29. 29.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 5 cm (c) 36 cm (d) 4 cm
  30. 30.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
  31. 31.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
  32. 32.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 26 cm (c) 24 cm (d) 14 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 has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 10 cm (c) 76 cm (d) 5 cm
  35. 35.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 90 sq cm (c) 36 sq cm (d) 18 sq cm
  36. 36.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 88 sq cm (b) 19 sq cm (c) 99 sq cm (d) 38 sq cm
  37. 37.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 44 sq cm (b) 130 sq cm (c) 117 sq cm (d) 22 sq cm
  38. 38.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  39. 39.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 31 cm (d) 65 cm
  40. 40.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 52 cm (b) 133 cm (c) 45 cm (d) 26 cm

Answer key

  1. 8 cm
  2. 14 sq cm
  3. 56 sq cm
  4. 132 sq cm
  5. 34 sq cm
  6. 140 sq cm
  7. 58 cm
  8. 30 cm
  9. 196 sq cm
  10. 52 cm
  11. 100 sq cm
  12. 128 sq cm
  13. 22 cm
  14. 9 cm
  15. 81 sq cm
  16. 56 cm
  17. 12 cm
  18. 95 sq cm
  19. 12 cm
  20. 225 sq cm
  21. 5 cm
  22. 5 cm
  23. 11 cm
  24. 144 sq cm
  25. 121 sq cm
  26. 34 cm
  27. 8 cm
  28. 180 sq cm
  29. 4 cm
  30. 36 sq cm
  31. 16 cm
  32. 28 cm
  33. 25 sq cm
  34. 5 cm
  35. 80 sq cm
  36. 88 sq cm
  37. 117 sq cm
  38. 64 sq cm
  39. 36 cm
  40. 52 cm

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