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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 778 · 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 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
  2. 2.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 96 cm (c) 38 cm (d) 44 cm
  3. 3.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 54 sq cm (c) 42 sq cm (d) 72 sq cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
  5. 5.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 140 cm
  6. 6.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 120 sq cm (c) 42 sq cm (d) 108 sq cm
  7. 7.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
  8. 8.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
  9. 9.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 22 cm (c) 190 cm (d) 11 cm
  10. 10.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 26 cm (d) 13 cm
  11. 11.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
  12. 12.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 18 sq cm (c) 11 sq cm (d) 22 sq cm
  13. 13.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 65 cm
  14. 14.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 54 sq cm (c) 63 sq cm (d) 15 sq cm
  15. 15.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 60 cm (c) 34 cm (d) 17 cm
  16. 16.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 9 cm (d) 18 cm
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  18. 18.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 48 cm (c) 22 cm (d) 28 cm
  19. 19.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 32 sq cm (c) 39 sq cm (d) 16 sq cm
  20. 20.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 64 sq cm (c) 56 sq cm (d) 15 sq cm
  21. 21.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 16 cm (c) 70 cm (d) 8 cm
  22. 22.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 32 cm (c) 42 cm (d) 110 cm
  23. 23.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 15 cm
  24. 24.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 12 cm (c) 143 cm (d) 24 cm
  25. 25.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 22 cm (c) 170 cm (d) 11 cm
  26. 26.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
  27. 27.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
  28. 28.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 72 cm (d) 26 cm
  29. 29.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 68 sq cm (c) 20 sq cm (d) 40 sq cm
  30. 30.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 18 sq cm (d) 14 sq cm
  31. 31.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 20 cm (d) 11 cm
  32. 32.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 20 cm (d) 24 cm
  33. 33.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 57 sq cm (d) 38 sq cm
  34. 34.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 10 cm (c) 60 cm (d) 5 cm
  35. 35.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 26 sq cm (c) 13 sq cm (d) 45 sq cm
  36. 36.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 26 cm (c) 52 cm (d) 45 cm
  37. 37.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 19 cm (d) 24 cm
  38. 38.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 34 sq cm (c) 51 sq cm (d) 38 sq cm
  39. 39.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 96 cm (d) 40 cm
  40. 40.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 130 cm

Answer key

  1. 100 sq cm
  2. 44 cm
  3. 54 sq cm
  4. 36 sq cm
  5. 11 cm
  6. 108 sq cm
  7. 196 sq cm
  8. 49 sq cm
  9. 11 cm
  10. 26 cm
  11. 25 sq cm
  12. 18 sq cm
  13. 6 cm
  14. 54 sq cm
  15. 34 cm
  16. 18 cm
  17. 81 sq cm
  18. 28 cm
  19. 39 sq cm
  20. 56 sq cm
  21. 8 cm
  22. 42 cm
  23. 2 cm
  24. 12 cm
  25. 11 cm
  26. 225 sq cm
  27. 121 sq cm
  28. 34 cm
  29. 51 sq cm
  30. 14 sq cm
  31. 22 cm
  32. 20 cm
  33. 38 sq cm
  34. 5 cm
  35. 36 sq cm
  36. 52 cm
  37. 22 cm
  38. 34 sq cm
  39. 40 cm
  40. 11 cm

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