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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 420 · 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 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  2. 2.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 57 sq cm (b) 38 sq cm (c) 21 sq cm (d) 42 sq cm
  3. 3.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
  4. 4.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 72 cm
  5. 5.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 26 sq cm (c) 13 sq cm (d) 42 sq cm
  6. 6.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 19 cm (c) 36 cm (d) 38 cm
  7. 7.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
  8. 8.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
  9. 9.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 27 cm (b) 180 cm (c) 42 cm (d) 54 cm
  10. 10.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 48 cm (b) 30 cm (c) 60 cm (d) 216 cm
  11. 11.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 68 cm (b) 10 cm (c) 5 cm (d) 6 cm
  12. 12.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 187 sq cm (b) 56 sq cm (c) 28 sq cm (d) 204 sq cm
  13. 13.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 25 cm (c) 45 cm (d) 50 cm
  14. 14.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 80 cm (b) 42 cm (c) 21 cm (d) 37 cm
  15. 15.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 21 cm (d) 20 cm
  16. 16.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 20 cm (d) 24 cm
  17. 17.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 52 cm (b) 240 cm (c) 64 cm (d) 32 cm
  18. 18.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
  19. 19.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 19 sq cm (c) 38 sq cm (d) 96 sq cm
  20. 20.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 56 cm (b) 47 cm (c) 171 cm (d) 28 cm
  21. 21.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 120 cm
  22. 22.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 23 cm (b) 38 cm (c) 46 cm (d) 120 cm
  23. 23.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 176 sq cm (b) 27 sq cm (c) 54 sq cm (d) 192 sq cm
  24. 24.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 20 cm (c) 22 cm (d) 18 cm
  25. 25.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 46 cm (c) 23 cm (d) 36 cm
  26. 26.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 19 sq cm (b) 60 sq cm (c) 38 sq cm (d) 75 sq cm
  27. 27.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 95 sq cm (c) 48 sq cm (d) 114 sq cm
  28. 28.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 12 cm (c) 24 cm (d) 13 cm
  29. 29.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 22 cm
  30. 30.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 9 cm (c) 18 cm (d) 16 cm
  31. 31.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
  32. 32.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 10 cm (d) 20 cm
  33. 33.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  34. 34.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 17 cm (d) 30 cm
  35. 35.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 100 sq cm (b) 48 sq cm (c) 80 sq cm (d) 24 sq cm
  36. 36.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 54 cm (b) 162 cm (c) 27 cm (d) 45 cm
  37. 37.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  38. 38.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 26 sq cm (c) 133 sq cm (d) 52 sq cm
  39. 39.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 117 cm (c) 10 cm (d) 20 cm
  40. 40.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm

Answer key

  1. 25 sq cm
  2. 38 sq cm
  3. 100 sq cm
  4. 5 cm
  5. 42 sq cm
  6. 38 cm
  7. 144 sq cm
  8. 81 sq cm
  9. 54 cm
  10. 60 cm
  11. 5 cm
  12. 187 sq cm
  13. 50 cm
  14. 42 cm
  15. 20 cm
  16. 20 cm
  17. 64 cm
  18. 49 sq cm
  19. 84 sq cm
  20. 56 cm
  21. 7 cm
  22. 46 cm
  23. 176 sq cm
  24. 22 cm
  25. 46 cm
  26. 60 sq cm
  27. 95 sq cm
  28. 12 cm
  29. 3 cm
  30. 18 cm
  31. 169 sq cm
  32. 20 cm
  33. 64 sq cm
  34. 22 cm
  35. 80 sq cm
  36. 54 cm
  37. 36 sq cm
  38. 133 sq cm
  39. 10 cm
  40. 225 sq cm

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