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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 51 · 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 is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 48 sq cm (d) 60 sq cm
  2. 2.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
  3. 3.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
  4. 4.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
  5. 5.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 34 sq cm (c) 17 sq cm (d) 72 sq cm
  6. 6.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  7. 7.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  8. 8.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 11 sq cm (c) 36 sq cm (d) 22 sq cm
  9. 9.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 169 sq cm (d) 48 sq cm
  10. 10.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 20 cm (c) 26 cm (d) 42 cm
  11. 11.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  12. 12.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 40 cm (b) 3 cm (c) 6 cm (d) 4 cm
  13. 13.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 85 sq cm (d) 68 sq cm
  14. 14.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 26 cm (d) 36 cm
  15. 15.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 34 cm (c) 17 cm (d) 60 cm
  16. 16.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 24 cm (c) 154 cm (d) 12 cm
  17. 17.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 72 sq cm (c) 90 sq cm (d) 22 sq cm
  18. 18.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  19. 19.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 19 sq cm (c) 24 sq cm (d) 18 sq cm
  20. 20.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 91 sq cm (b) 78 sq cm (c) 38 sq cm (d) 19 sq cm
  21. 21.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
  22. 22.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 24 cm (d) 22 cm
  23. 23.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
  24. 24.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 126 sq cm (b) 144 sq cm (c) 25 sq cm (d) 50 sq cm
  25. 25.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 80 sq cm (c) 96 sq cm (d) 21 sq cm
  26. 26.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 50 cm (c) 154 cm (d) 25 cm
  27. 27.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 95 sq cm (b) 114 sq cm (c) 48 sq cm (d) 24 sq cm
  28. 28.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 209 sq cm (b) 60 sq cm (c) 228 sq cm (d) 30 sq cm
  29. 29.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 43 cm (b) 25 cm (c) 50 cm (d) 126 cm
  30. 30.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 108 sq cm (c) 90 sq cm (d) 23 sq cm
  31. 31.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 39 cm (d) 29 cm
  32. 32.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 28 cm (b) 45 cm (c) 23 cm (d) 14 cm
  33. 33.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 30 cm (c) 15 cm (d) 26 cm
  34. 34.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 45 cm (b) 56 cm (c) 28 cm (d) 187 cm
  35. 35.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 3 cm (c) 2 cm (d) 4 cm
  36. 36.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 80 cm (c) 12 cm (d) 6 cm
  37. 37.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 15 sq cm (d) 50 sq cm
  38. 38.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 135 cm (c) 20 cm (d) 11 cm
  39. 39.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
  40. 40.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 28 cm (b) 10 cm (c) 6 cm (d) 5 cm

Answer key

  1. 48 sq cm
  2. 225 sq cm
  3. 25 sq cm
  4. 81 sq cm
  5. 60 sq cm
  6. 128 sq cm
  7. 36 sq cm
  8. 30 sq cm
  9. 144 sq cm
  10. 26 cm
  11. 196 sq cm
  12. 3 cm
  13. 68 sq cm
  14. 26 cm
  15. 34 cm
  16. 12 cm
  17. 72 sq cm
  18. 49 sq cm
  19. 18 sq cm
  20. 78 sq cm
  21. 169 sq cm
  22. 26 cm
  23. 121 sq cm
  24. 126 sq cm
  25. 80 sq cm
  26. 50 cm
  27. 95 sq cm
  28. 209 sq cm
  29. 50 cm
  30. 90 sq cm
  31. 32 cm
  32. 28 cm
  33. 30 cm
  34. 56 cm
  35. 2 cm
  36. 6 cm
  37. 50 sq cm
  38. 10 cm
  39. 100 sq cm
  40. 5 cm

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