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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 544 · 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 140 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 120 cm
  2. 2.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 9 cm (c) 18 cm (d) 19 cm
  3. 3.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 12 cm (c) 24 cm (d) 27 cm
  4. 4.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
  5. 5.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 26 cm (b) 168 cm (c) 52 cm (d) 40 cm
  6. 6.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 30 sq cm (d) 40 sq cm
  7. 7.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 50 sq cm (d) 60 sq cm
  8. 8.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 77 cm
  9. 9.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 64 sq cm (d) 28 sq cm
  10. 10.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 15 cm (d) 56 cm
  11. 11.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 60 cm (c) 32 cm (d) 16 cm
  12. 12.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  13. 13.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 12 cm (c) 190 cm (d) 22 cm
  14. 14.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 28 cm (b) 46 cm (c) 56 cm (d) 180 cm
  15. 15.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 180 sq cm (d) 162 sq cm
  16. 16.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 10 sq cm (d) 21 sq cm
  17. 17.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 40 cm (b) 31 cm (c) 20 cm (d) 99 cm
  18. 18.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 25 sq cm (b) 126 sq cm (c) 50 sq cm (d) 144 sq cm
  19. 19.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 90 cm (c) 36 cm (d) 42 cm
  20. 20.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 28 sq cm (b) 198 sq cm (c) 56 sq cm (d) 180 sq cm
  21. 21.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 12 cm (c) 22 cm (d) 11 cm
  22. 22.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
  23. 23.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 45 sq cm (d) 36 sq cm
  24. 24.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  25. 25.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 22 sq cm (d) 24 sq cm
  26. 26.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 52 cm (b) 160 cm (c) 42 cm (d) 26 cm
  27. 27.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 130 sq cm (d) 143 sq cm
  28. 28.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 91 cm (b) 33 cm (c) 40 cm (d) 20 cm
  29. 29.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 26 sq cm (b) 152 sq cm (c) 133 sq cm (d) 52 sq cm
  30. 30.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 62 sq cm (c) 228 sq cm (d) 31 sq cm
  31. 31.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 85 cm (c) 7 cm (d) 12 cm
  32. 32.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
  33. 33.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 26 sq cm (b) 160 sq cm (c) 52 sq cm (d) 176 sq cm
  34. 34.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 46 sq cm (b) 140 sq cm (c) 126 sq cm (d) 23 sq cm
  35. 35.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 20 sq cm (c) 40 sq cm (d) 68 sq cm
  36. 36.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
  37. 37.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 180 sq cm (b) 52 sq cm (c) 26 sq cm (d) 165 sq cm
  38. 38.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 120 sq cm (b) 23 sq cm (c) 135 sq cm (d) 46 sq cm
  39. 39.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  40. 40.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 13 cm (c) 209 cm (d) 12 cm

Answer key

  1. 7 cm
  2. 18 cm
  3. 24 cm
  4. 196 sq cm
  5. 52 cm
  6. 30 sq cm
  7. 50 sq cm
  8. 8 cm
  9. 49 sq cm
  10. 30 cm
  11. 32 cm
  12. 25 sq cm
  13. 11 cm
  14. 56 cm
  15. 162 sq cm
  16. 21 sq cm
  17. 40 cm
  18. 126 sq cm
  19. 42 cm
  20. 180 sq cm
  21. 11 cm
  22. 128 sq cm
  23. 36 sq cm
  24. 225 sq cm
  25. 24 sq cm
  26. 52 cm
  27. 130 sq cm
  28. 40 cm
  29. 133 sq cm
  30. 228 sq cm
  31. 6 cm
  32. 121 sq cm
  33. 160 sq cm
  34. 126 sq cm
  35. 51 sq cm
  36. 64 sq cm
  37. 165 sq cm
  38. 120 sq cm
  39. 36 sq cm
  40. 12 cm

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