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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 866 · 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 rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 13 cm (c) 24 cm (d) 12 cm
  2. 2.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 16 cm (b) 27 cm (c) 55 cm (d) 32 cm
  3. 3.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 130 sq cm (d) 117 sq cm
  4. 4.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 95 cm
  5. 5.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
  6. 6.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 11 sq cm (c) 22 sq cm (d) 35 sq cm
  7. 7.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 95 sq cm (b) 114 sq cm (c) 48 sq cm (d) 24 sq cm
  8. 8.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 126 sq cm (c) 23 sq cm (d) 46 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) 32 sq cm (d) 64 sq cm
  10. 10.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 2 cm (c) 3 cm (d) 4 cm
  11. 11.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 91 cm
  12. 12.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 38 sq cm (b) 75 sq cm (c) 19 sq cm (d) 60 sq cm
  13. 13.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 22 sq cm (c) 40 sq cm (d) 44 sq cm
  14. 14.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 56 sq cm (c) 70 sq cm (d) 36 sq cm
  15. 15.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 260 sq cm (b) 64 sq cm (c) 240 sq cm (d) 32 sq cm
  16. 16.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 16 cm (c) 84 cm (d) 8 cm
  17. 17.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 16 sq cm (c) 10 sq cm (d) 24 sq cm
  18. 18.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 21 cm (c) 24 cm (d) 27 cm
  19. 19.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 4 cm (c) 10 cm (d) 6 cm
  20. 20.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 110 sq cm (c) 20 sq cm (d) 99 sq cm
  21. 21.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  22. 22.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 90 sq cm (d) 72 sq cm
  23. 23.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 22 cm (b) 117 cm (c) 44 cm (d) 35 cm
  24. 24.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 37 cm (c) 48 cm (d) 143 cm
  25. 25.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 144 cm (d) 41 cm
  26. 26.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 190 sq cm (b) 58 sq cm (c) 209 sq cm (d) 29 sq cm
  27. 27.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 23 sq cm (c) 46 sq cm (d) 60 sq cm
  28. 28.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 28 cm (c) 15 cm (d) 26 cm
  29. 29.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
  30. 30.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 48 cm (c) 10 cm (d) 6 cm
  31. 31.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 24 sq cm (b) 135 sq cm (c) 150 sq cm (d) 48 sq cm
  32. 32.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 48 sq cm (d) 32 sq cm
  33. 33.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 2 cm (b) 1 cm (c) 4 cm (d) 3 cm
  34. 34.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 18 cm (d) 11 cm
  35. 35.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 38 cm (d) 48 cm
  36. 36.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 10 cm (c) 18 cm (d) 9 cm
  37. 37.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
  38. 38.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 57 cm (b) 5 cm (c) 8 cm (d) 4 cm
  39. 39.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 24 cm (c) 10 cm (d) 5 cm
  40. 40.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm

Answer key

  1. 12 cm
  2. 32 cm
  3. 117 sq cm
  4. 6 cm
  5. 100 sq cm
  6. 28 sq cm
  7. 95 sq cm
  8. 126 sq cm
  9. 64 sq cm
  10. 2 cm
  11. 8 cm
  12. 60 sq cm
  13. 40 sq cm
  14. 56 sq cm
  15. 240 sq cm
  16. 8 cm
  17. 16 sq cm
  18. 24 cm
  19. 3 cm
  20. 99 sq cm
  21. 225 sq cm
  22. 72 sq cm
  23. 44 cm
  24. 48 cm
  25. 50 cm
  26. 190 sq cm
  27. 60 sq cm
  28. 30 cm
  29. 169 sq cm
  30. 5 cm
  31. 135 sq cm
  32. 32 sq cm
  33. 2 cm
  34. 22 cm
  35. 38 cm
  36. 9 cm
  37. 36 sq cm
  38. 4 cm
  39. 5 cm
  40. 49 sq cm

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