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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 777 · 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 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
  2. 2.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 14 sq cm (c) 28 sq cm (d) 33 sq cm
  3. 3.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
  4. 4.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 81 sq cm (c) 17 sq cm (d) 72 sq cm
  5. 5.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 20 cm (b) 75 cm (c) 35 cm (d) 40 cm
  6. 6.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 234 sq cm (c) 30 sq cm (d) 216 sq cm
  7. 7.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 72 cm (c) 22 cm (d) 44 cm
  8. 8.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 60 cm (c) 6 cm (d) 12 cm
  9. 9.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 38 cm (b) 3 cm (c) 6 cm (d) 4 cm
  10. 10.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  11. 11.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 43 cm (b) 60 cm (c) 46 cm (d) 23 cm
  12. 12.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 176 cm
  13. 13.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 120 cm (b) 44 cm (c) 22 cm (d) 34 cm
  14. 14.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 126 sq cm (b) 48 sq cm (c) 24 sq cm (d) 108 sq cm
  15. 15.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 64 sq cm (c) 80 sq cm (d) 20 sq cm
  16. 16.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 42 cm (b) 108 cm (c) 33 cm (d) 21 cm
  17. 17.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  18. 18.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
  19. 19.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 72 cm (b) 36 cm (c) 18 cm (d) 30 cm
  20. 20.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 27 sq cm (c) 162 sq cm (d) 54 sq cm
  21. 21.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 26 cm (b) 42 cm (c) 52 cm (d) 160 cm
  22. 22.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 60 sq cm (c) 50 sq cm (d) 30 sq cm
  23. 23.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 99 cm (c) 11 cm (d) 20 cm
  24. 24.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  25. 25.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
  26. 26.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 32 cm (d) 110 cm
  27. 27.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 41 cm (b) 165 cm (c) 52 cm (d) 26 cm
  28. 28.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 44 sq cm (c) 117 sq cm (d) 22 sq cm
  29. 29.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  30. 30.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 26 cm (d) 28 cm
  31. 31.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  32. 32.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 26 cm (c) 14 cm (d) 24 cm
  33. 33.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 10 sq cm (d) 20 sq cm
  34. 34.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 24 cm (c) 15 cm (d) 54 cm
  35. 35.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 23 sq cm (b) 90 sq cm (c) 108 sq cm (d) 46 sq cm
  36. 36.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 72 sq cm (d) 90 sq cm
  37. 37.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 80 sq cm (c) 23 sq cm (d) 60 sq cm
  38. 38.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
  39. 39.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 48 sq cm (d) 15 sq cm
  40. 40.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 19 sq cm (b) 75 sq cm (c) 38 sq cm (d) 60 sq cm

Answer key

  1. 81 sq cm
  2. 33 sq cm
  3. 25 sq cm
  4. 72 sq cm
  5. 40 cm
  6. 216 sq cm
  7. 44 cm
  8. 6 cm
  9. 3 cm
  10. 225 sq cm
  11. 46 cm
  12. 12 cm
  13. 44 cm
  14. 108 sq cm
  15. 64 sq cm
  16. 42 cm
  17. 196 sq cm
  18. 121 sq cm
  19. 36 cm
  20. 162 sq cm
  21. 52 cm
  22. 50 sq cm
  23. 10 cm
  24. 100 sq cm
  25. 64 sq cm
  26. 42 cm
  27. 52 cm
  28. 117 sq cm
  29. 169 sq cm
  30. 30 cm
  31. 49 sq cm
  32. 28 cm
  33. 24 sq cm
  34. 30 cm
  35. 90 sq cm
  36. 72 sq cm
  37. 60 sq cm
  38. 144 sq cm
  39. 36 sq cm
  40. 60 sq cm

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