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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 254 · 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 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 26 sq cm (d) 169 sq cm
  2. 2.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 78 sq cm (c) 36 sq cm (d) 65 sq cm
  3. 3.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 22 sq cm (c) 102 sq cm (d) 44 sq cm
  4. 4.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 22 sq cm (c) 32 sq cm (d) 11 sq cm
  5. 5.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 36 sq cm (d) 24 sq cm
  6. 6.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 18 cm (c) 9 cm (d) 10 cm
  7. 7.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
  8. 8.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 119 cm (c) 8 cm (d) 16 cm
  9. 9.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 3 cm (c) 18 cm (d) 6 cm
  10. 10.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 26 sq cm (d) 48 sq cm
  11. 11.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 36 cm (c) 19 cm (d) 38 cm
  12. 12.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 10 sq cm
  13. 13.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
  14. 14.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 8 cm (c) 5 cm (d) 4 cm
  15. 15.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
  16. 16.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 32 sq cm (c) 40 sq cm (d) 24 sq cm
  17. 17.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 68 sq cm (c) 21 sq cm (d) 85 sq cm
  18. 18.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  19. 19.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 18 sq cm (d) 12 sq cm
  20. 20.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 45 cm (c) 25 cm (d) 100 cm
  21. 21.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 44 sq cm (d) 22 sq cm
  22. 22.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
  23. 23.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 25 cm (c) 63 cm (d) 32 cm
  24. 24.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 19 cm (c) 29 cm (d) 38 cm
  25. 25.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 34 cm
  26. 26.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 9 cm (c) 105 cm (d) 16 cm
  27. 27.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 68 sq cm (c) 51 sq cm (d) 40 sq cm
  28. 28.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  29. 29.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 13 cm (c) 2 cm (d) 4 cm
  30. 30.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 45 cm (b) 28 cm (c) 187 cm (d) 56 cm
  31. 31.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 20 sq cm (c) 40 sq cm (d) 104 sq cm
  32. 32.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 70 sq cm (c) 18 sq cm (d) 56 sq cm
  33. 33.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 13 sq cm (c) 42 sq cm (d) 26 sq cm
  34. 34.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 29 cm (b) 190 cm (c) 58 cm (d) 48 cm
  35. 35.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  36. 36.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 4 cm (c) 36 cm (d) 6 cm
  37. 37.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 12 cm (d) 32 cm
  38. 38.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 13 sq cm (c) 26 sq cm (d) 36 sq cm
  39. 39.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
  40. 40.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 18 cm (c) 10 cm (d) 9 cm

Answer key

  1. 169 sq cm
  2. 65 sq cm
  3. 85 sq cm
  4. 24 sq cm
  5. 24 sq cm
  6. 9 cm
  7. 196 sq cm
  8. 8 cm
  9. 3 cm
  10. 40 sq cm
  11. 38 cm
  12. 24 sq cm
  13. 49 sq cm
  14. 4 cm
  15. 81 sq cm
  16. 32 sq cm
  17. 68 sq cm
  18. 100 sq cm
  19. 12 sq cm
  20. 50 cm
  21. 121 sq cm
  22. 12 cm
  23. 32 cm
  24. 38 cm
  25. 3 cm
  26. 8 cm
  27. 51 sq cm
  28. 25 sq cm
  29. 2 cm
  30. 56 cm
  31. 91 sq cm
  32. 56 sq cm
  33. 42 sq cm
  34. 58 cm
  35. 225 sq cm
  36. 3 cm
  37. 24 cm
  38. 36 sq cm
  39. 36 sq cm
  40. 9 cm

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