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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 589 · 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 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
  2. 2.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  3. 3.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 2 cm (b) 4 cm (c) 19 cm (d) 3 cm
  4. 4.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 14 cm (b) 25 cm (c) 33 cm (d) 28 cm
  5. 5.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 20 cm (c) 32 cm (d) 24 cm
  6. 6.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
  7. 7.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 47 cm (b) 56 cm (c) 171 cm (d) 28 cm
  8. 8.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 30 sq cm (c) 40 sq cm (d) 26 sq cm
  9. 9.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  10. 10.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 126 cm
  11. 11.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 12 sq cm (d) 30 sq cm
  12. 12.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 126 cm (b) 46 cm (c) 37 cm (d) 23 cm
  13. 13.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 36 sq cm (d) 30 sq cm
  14. 14.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  15. 15.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 60 cm (c) 19 cm (d) 34 cm
  16. 16.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 18 sq cm (b) 90 sq cm (c) 36 sq cm (d) 80 sq cm
  17. 17.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 19 cm (c) 33 cm (d) 38 cm
  18. 18.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 20 cm (c) 24 cm (d) 22 cm
  19. 19.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 52 cm (c) 168 cm (d) 26 cm
  20. 20.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 60 cm
  21. 21.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
  22. 22.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 114 cm (c) 7 cm (d) 8 cm
  23. 23.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 133 cm
  24. 24.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
  25. 25.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 180 cm (c) 49 cm (d) 58 cm
  26. 26.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 18 cm (d) 20 cm
  27. 27.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 76 sq cm (d) 57 sq cm
  28. 28.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 117 cm (c) 11 cm (d) 10 cm
  29. 29.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
  30. 30.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  31. 31.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 98 sq cm (b) 20 sq cm (c) 84 sq cm (d) 40 sq cm
  32. 32.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 4 cm (c) 3 cm (d) 2 cm
  33. 33.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 6 cm (c) 52 cm (d) 5 cm
  34. 34.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 72 cm (c) 17 cm (d) 34 cm
  35. 35.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 28 cm (b) 192 cm (c) 56 cm (d) 44 cm
  36. 36.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 48 sq cm (d) 169 sq cm
  37. 37.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 32 sq cm (c) 28 sq cm (d) 16 sq cm
  38. 38.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 46 sq cm (b) 132 sq cm (c) 23 sq cm (d) 144 sq cm
  39. 39.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
  40. 40.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 12 cm (c) 13 cm (d) 24 cm

Answer key

  1. 225 sq cm
  2. 36 sq cm
  3. 2 cm
  4. 28 cm
  5. 24 cm
  6. 100 sq cm
  7. 56 cm
  8. 30 sq cm
  9. 64 sq cm
  10. 10 cm
  11. 20 sq cm
  12. 46 cm
  13. 30 sq cm
  14. 25 sq cm
  15. 38 cm
  16. 80 sq cm
  17. 38 cm
  18. 24 cm
  19. 52 cm
  20. 5 cm
  21. 196 sq cm
  22. 7 cm
  23. 8 cm
  24. 169 sq cm
  25. 58 cm
  26. 20 cm
  27. 57 sq cm
  28. 10 cm
  29. 49 sq cm
  30. 81 sq cm
  31. 84 sq cm
  32. 2 cm
  33. 5 cm
  34. 34 cm
  35. 56 cm
  36. 144 sq cm
  37. 28 sq cm
  38. 132 sq cm
  39. 60 cm
  40. 12 cm

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