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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 87 · 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 square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  2. 2.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 22 sq cm (d) 28 sq cm
  3. 3.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 22 cm (d) 20 cm
  4. 4.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 27 sq cm (c) 24 sq cm (d) 12 sq cm
  5. 5.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
  6. 6.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 150 cm
  7. 7.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 24 sq cm (c) 18 sq cm (d) 9 sq cm
  8. 8.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) 8 cm (d) 9 cm
  9. 9.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 54 cm (b) 42 cm (c) 39 cm (d) 21 cm
  10. 10.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 10 sq cm (d) 20 sq cm
  11. 11.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
  12. 12.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 42 sq cm (c) 56 sq cm (d) 17 sq cm
  13. 13.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 42 cm (c) 20 cm (d) 26 cm
  14. 14.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 22 cm (c) 11 cm (d) 24 cm
  15. 15.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 26 cm (d) 24 cm
  16. 16.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 60 cm (b) 4 cm (c) 8 cm (d) 5 cm
  17. 17.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 198 sq cm (d) 180 sq cm
  18. 18.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 10 sq cm (c) 28 sq cm (d) 20 sq cm
  19. 19.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 88 cm (c) 10 cm (d) 18 cm
  20. 20.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 144 cm (c) 44 cm (d) 52 cm
  21. 21.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 95 cm
  22. 22.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 12 cm
  23. 23.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
  24. 24.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 84 cm (c) 8 cm (d) 9 cm
  25. 25.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 9 cm (d) 18 cm
  26. 26.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 18 cm (d) 20 cm
  27. 27.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 12 cm (c) 7 cm (d) 6 cm
  28. 28.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 20 cm (c) 10 cm (d) 11 cm
  29. 29.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 54 sq cm (d) 36 sq cm
  30. 30.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 52 cm (c) 64 cm (d) 240 cm
  31. 31.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 108 sq cm (b) 48 sq cm (c) 24 sq cm (d) 126 sq cm
  32. 32.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
  33. 33.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 9 cm (c) 8 cm (d) 16 cm
  34. 34.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 20 cm
  35. 35.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
  36. 36.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 62 sq cm (b) 31 sq cm (c) 228 sq cm (d) 247 sq cm
  37. 37.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 12 sq cm (c) 8 sq cm (d) 18 sq cm
  38. 38.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 11 cm (c) 200 cm (d) 22 cm
  39. 39.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 90 sq cm (c) 38 sq cm (d) 100 sq cm
  40. 40.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 46 sq cm (c) 23 sq cm (d) 126 sq cm

Answer key

  1. 121 sq cm
  2. 28 sq cm
  3. 24 cm
  4. 27 sq cm
  5. 49 sq cm
  6. 11 cm
  7. 18 sq cm
  8. 8 cm
  9. 42 cm
  10. 24 sq cm
  11. 196 sq cm
  12. 42 sq cm
  13. 26 cm
  14. 22 cm
  15. 28 cm
  16. 4 cm
  17. 180 sq cm
  18. 21 sq cm
  19. 9 cm
  20. 52 cm
  21. 6 cm
  22. 2 cm
  23. 25 sq cm
  24. 8 cm
  25. 18 cm
  26. 20 cm
  27. 6 cm
  28. 10 cm
  29. 36 sq cm
  30. 64 cm
  31. 108 sq cm
  32. 81 sq cm
  33. 8 cm
  34. 2 cm
  35. 225 sq cm
  36. 228 sq cm
  37. 12 sq cm
  38. 11 cm
  39. 90 sq cm
  40. 126 sq cm

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