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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 943 · 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 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
  2. 2.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 80 sq cm (d) 60 sq cm
  3. 3.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 8 cm (c) 60 cm (d) 4 cm
  4. 4.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 32 sq cm (c) 16 sq cm (d) 39 sq cm
  5. 5.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 3 cm (c) 19 cm (d) 2 cm
  6. 6.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 10 cm (c) 88 cm (d) 9 cm
  7. 7.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 4 cm (c) 34 cm (d) 6 cm
  8. 8.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 9 cm (c) 136 cm (d) 10 cm
  9. 9.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 14 cm (b) 25 cm (c) 28 cm (d) 33 cm
  10. 10.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 32 cm (c) 34 cm (d) 18 cm
  11. 11.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 190 cm (c) 11 cm (d) 22 cm
  12. 12.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 11 sq cm (d) 30 sq cm
  13. 13.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 112 cm (c) 9 cm (d) 10 cm
  14. 14.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 44 sq cm (d) 22 sq cm
  15. 15.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 44 sq cm (c) 22 sq cm (d) 60 sq cm
  16. 16.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 40 cm (d) 96 cm
  17. 17.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 90 sq cm (d) 105 sq cm
  18. 18.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
  19. 19.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 11 cm (c) 108 cm (d) 10 cm
  20. 20.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 120 sq cm (c) 135 sq cm (d) 23 sq cm
  21. 21.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  22. 22.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 80 cm (b) 6 cm (c) 12 cm (d) 7 cm
  23. 23.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 3 cm (c) 2 cm (d) 4 cm
  24. 24.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 12 cm (c) 198 cm (d) 13 cm
  25. 25.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 33 cm (c) 91 cm (d) 40 cm
  26. 26.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 80 cm (b) 42 cm (c) 37 cm (d) 21 cm
  27. 27.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
  28. 28.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 38 sq cm (c) 88 sq cm (d) 19 sq cm
  29. 29.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 49 sq cm (c) 26 sq cm (d) 42 sq cm
  30. 30.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  31. 31.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 72 cm
  32. 32.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 28 cm (c) 6 cm (d) 3 cm
  33. 33.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 24 sq cm (d) 22 sq cm
  34. 34.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 99 sq cm (c) 110 sq cm (d) 20 sq cm
  35. 35.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 13 cm (c) 26 cm (d) 40 cm
  36. 36.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 14 cm (c) 16 cm (d) 8 cm
  37. 37.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 45 sq cm (c) 17 sq cm (d) 34 sq cm
  38. 38.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 21 sq cm (c) 42 sq cm (d) 112 sq cm
  39. 39.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 66 cm (c) 8 cm (d) 14 cm
  40. 40.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 38 cm (c) 44 cm (d) 96 cm

Answer key

  1. 36 sq cm
  2. 60 sq cm
  3. 4 cm
  4. 39 sq cm
  5. 2 cm
  6. 9 cm
  7. 3 cm
  8. 9 cm
  9. 28 cm
  10. 36 cm
  11. 11 cm
  12. 30 sq cm
  13. 9 cm
  14. 121 sq cm
  15. 40 sq cm
  16. 40 cm
  17. 90 sq cm
  18. 144 sq cm
  19. 10 cm
  20. 120 sq cm
  21. 64 sq cm
  22. 6 cm
  23. 2 cm
  24. 12 cm
  25. 40 cm
  26. 42 cm
  27. 225 sq cm
  28. 88 sq cm
  29. 42 sq cm
  30. 196 sq cm
  31. 7 cm
  32. 3 cm
  33. 24 sq cm
  34. 99 sq cm
  35. 26 cm
  36. 16 cm
  37. 30 sq cm
  38. 98 sq cm
  39. 7 cm
  40. 44 cm

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