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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 606 · 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 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
  2. 2.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 40 sq cm (d) 121 sq cm
  3. 3.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 88 sq cm (c) 19 sq cm (d) 99 sq cm
  4. 4.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 12 cm (c) 180 cm (d) 11 cm
  5. 5.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  6. 6.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  7. 7.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  8. 8.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 20 sq cm (d) 21 sq cm
  9. 9.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 46 sq cm (c) 23 sq cm (d) 132 sq cm
  10. 10.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 28 cm (c) 32 cm (d) 30 cm
  11. 11.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
  12. 12.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 11 sq cm (d) 36 sq cm
  13. 13.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 42 cm (d) 108 cm
  14. 14.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 18 sq cm (d) 19 sq cm
  15. 15.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
  16. 16.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 117 sq cm (d) 104 sq cm
  17. 17.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 21 sq cm (d) 14 sq cm
  18. 18.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 27 sq cm
  19. 19.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 29 cm (c) 39 cm (d) 32 cm
  20. 20.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 108 cm (b) 33 cm (c) 42 cm (d) 21 cm
  21. 21.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 4 cm (c) 16 cm (d) 3 cm
  22. 22.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 144 cm
  23. 23.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 160 sq cm (b) 50 sq cm (c) 25 sq cm (d) 144 sq cm
  24. 24.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 28 sq cm (c) 32 sq cm (d) 16 sq cm
  25. 25.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 8 cm (c) 4 cm (d) 5 cm
  26. 26.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 30 sq cm (c) 40 sq cm (d) 13 sq cm
  27. 27.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 56 sq cm (d) 70 sq cm
  28. 28.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 40 cm (c) 13 cm (d) 21 cm
  29. 29.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 30 cm (d) 15 cm
  30. 30.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 27 sq cm (b) 160 sq cm (c) 140 sq cm (d) 54 sq cm
  31. 31.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
  32. 32.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 19 cm
  33. 33.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 29 cm (d) 90 cm
  34. 34.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
  35. 35.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 13 sq cm (c) 36 sq cm (d) 26 sq cm
  36. 36.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 48 sq cm (c) 56 sq cm (d) 14 sq cm
  37. 37.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 18 cm (d) 16 cm
  38. 38.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 45 sq cm (c) 14 sq cm (d) 28 sq cm
  39. 39.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 22 sq cm (d) 33 sq cm
  40. 40.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 37 cm (c) 51 cm (d) 40 cm

Answer key

  1. 64 sq cm
  2. 100 sq cm
  3. 88 sq cm
  4. 11 cm
  5. 25 sq cm
  6. 81 sq cm
  7. 49 sq cm
  8. 21 sq cm
  9. 132 sq cm
  10. 32 cm
  11. 144 sq cm
  12. 30 sq cm
  13. 48 cm
  14. 18 sq cm
  15. 121 sq cm
  16. 104 sq cm
  17. 14 sq cm
  18. 27 sq cm
  19. 32 cm
  20. 42 cm
  21. 3 cm
  22. 9 cm
  23. 144 sq cm
  24. 28 sq cm
  25. 4 cm
  26. 30 sq cm
  27. 56 sq cm
  28. 26 cm
  29. 30 cm
  30. 140 sq cm
  31. 225 sq cm
  32. 2 cm
  33. 38 cm
  34. 169 sq cm
  35. 36 sq cm
  36. 48 sq cm
  37. 20 cm
  38. 45 sq cm
  39. 22 sq cm
  40. 40 cm

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