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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 985 · 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 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
  2. 2.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 6 cm (c) 10 cm (d) 3 cm
  3. 3.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 27 cm (b) 44 cm (c) 54 cm (d) 170 cm
  4. 4.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
  5. 5.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 7 cm (c) 14 cm (d) 8 cm
  6. 6.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 32 cm (c) 25 cm (d) 16 cm
  7. 7.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 60 sq cm (d) 256 sq cm
  8. 8.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  9. 9.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 126 sq cm (c) 22 sq cm (d) 44 sq cm
  10. 10.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 84 cm (c) 9 cm (d) 16 cm
  11. 11.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 42 sq cm (d) 56 sq cm
  12. 12.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 16 sq cm (d) 12 sq cm
  13. 13.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 14 sq cm (c) 28 sq cm (d) 36 sq cm
  14. 14.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 44 sq cm (b) 112 sq cm (c) 96 sq cm (d) 22 sq cm
  15. 15.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 33 sq cm (c) 28 sq cm (d) 44 sq cm
  16. 16.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 48 sq cm (d) 13 sq cm
  17. 17.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 10 cm (c) 136 cm (d) 18 cm
  18. 18.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
  19. 19.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
  20. 20.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 2 cm (b) 3 cm (c) 8 cm (d) 4 cm
  21. 21.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 40 cm (c) 26 cm (d) 21 cm
  22. 22.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  23. 23.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 88 sq cm (b) 19 sq cm (c) 38 sq cm (d) 99 sq cm
  24. 24.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 34 cm (c) 36 cm (d) 19 cm
  25. 25.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 26 cm (b) 168 cm (c) 40 cm (d) 52 cm
  26. 26.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 100 sq cm (c) 48 sq cm (d) 24 sq cm
  27. 27.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  28. 28.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 45 cm (c) 4 cm (d) 5 cm
  29. 29.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 44 cm (d) 80 cm
  30. 30.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 190 cm
  31. 31.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 126 cm (b) 8 cm (c) 9 cm (d) 16 cm
  32. 32.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 11 cm (c) 17 cm (d) 22 cm
  33. 33.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 68 cm (d) 38 cm
  34. 34.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 25 cm (c) 50 cm (d) 41 cm
  35. 35.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 80 sq cm (c) 64 sq cm (d) 20 sq cm
  36. 36.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 18 sq cm (c) 36 sq cm (d) 90 sq cm
  37. 37.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 98 cm (b) 35 cm (c) 42 cm (d) 21 cm
  38. 38.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
  39. 39.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 84 sq cm (d) 96 sq cm
  40. 40.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 44 sq cm (b) 120 sq cm (c) 105 sq cm (d) 22 sq cm

Answer key

  1. 121 sq cm
  2. 3 cm
  3. 54 cm
  4. 64 sq cm
  5. 7 cm
  6. 32 cm
  7. 225 sq cm
  8. 25 sq cm
  9. 112 sq cm
  10. 8 cm
  11. 42 sq cm
  12. 12 sq cm
  13. 24 sq cm
  14. 96 sq cm
  15. 33 sq cm
  16. 40 sq cm
  17. 9 cm
  18. 100 sq cm
  19. 36 sq cm
  20. 2 cm
  21. 26 cm
  22. 81 sq cm
  23. 88 sq cm
  24. 38 cm
  25. 52 cm
  26. 80 sq cm
  27. 144 sq cm
  28. 4 cm
  29. 48 cm
  30. 11 cm
  31. 8 cm
  32. 22 cm
  33. 42 cm
  34. 50 cm
  35. 64 sq cm
  36. 80 sq cm
  37. 42 cm
  38. 49 sq cm
  39. 84 sq cm
  40. 105 sq cm

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