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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 362 · 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 176 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 160 cm
  2. 2.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 42 sq cm (d) 35 sq cm
  3. 3.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 36 cm (c) 10 cm (d) 6 cm
  4. 4.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 153 cm (b) 26 cm (c) 43 cm (d) 52 cm
  5. 5.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 24 cm (c) 176 cm (d) 13 cm
  6. 6.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 26 cm (d) 24 cm
  7. 7.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 132 sq cm (d) 120 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) 10 sq cm (d) 36 sq cm
  9. 9.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 20 cm (c) 13 cm (d) 26 cm
  10. 10.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
  12. 12.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
  13. 13.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 153 cm
  14. 14.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 84 cm (b) 38 cm (c) 19 cm (d) 31 cm
  15. 15.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 33 sq cm (b) 44 sq cm (c) 14 sq cm (d) 28 sq cm
  16. 16.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 12 cm (c) 120 cm (d) 11 cm
  17. 17.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 30 cm (d) 22 cm
  18. 18.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
  19. 19.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
  20. 20.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 7 cm (c) 2 cm (d) 4 cm
  21. 21.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 20 sq cm (c) 10 sq cm (d) 24 sq cm
  22. 22.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 3 cm (c) 4 cm (d) 2 cm
  23. 23.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 24 cm (b) 40 cm (c) 48 cm (d) 128 cm
  24. 24.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 114 cm
  25. 25.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 60 cm (b) 34 cm (c) 17 cm (d) 29 cm
  26. 26.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
  27. 27.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 34 cm (d) 60 cm
  28. 28.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 12 sq cm (d) 40 sq cm
  29. 29.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
  30. 30.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 27 sq cm (c) 180 sq cm (d) 54 sq cm
  31. 31.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 234 sq cm (b) 60 sq cm (c) 30 sq cm (d) 216 sq cm
  32. 32.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 34 cm (b) 4 cm (c) 6 cm (d) 3 cm
  33. 33.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 50 cm (c) 154 cm (d) 25 cm
  34. 34.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 56 sq cm (b) 180 sq cm (c) 160 sq cm (d) 28 sq cm
  35. 35.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
  36. 36.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 22 cm (c) 11 cm (d) 12 cm
  37. 37.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 24 sq cm (c) 14 sq cm (d) 36 sq cm
  38. 38.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 52 sq cm (b) 34 sq cm (c) 65 sq cm (d) 17 sq cm
  39. 39.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  40. 40.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 55 sq cm (d) 66 sq cm

Answer key

  1. 11 cm
  2. 35 sq cm
  3. 5 cm
  4. 52 cm
  5. 12 cm
  6. 28 cm
  7. 120 sq cm
  8. 25 sq cm
  9. 26 cm
  10. 225 sq cm
  11. 49 sq cm
  12. 81 sq cm
  13. 10 cm
  14. 38 cm
  15. 33 sq cm
  16. 11 cm
  17. 22 cm
  18. 60 sq cm
  19. 169 sq cm
  20. 2 cm
  21. 16 sq cm
  22. 2 cm
  23. 48 cm
  24. 7 cm
  25. 34 cm
  26. 45 sq cm
  27. 38 cm
  28. 32 sq cm
  29. 121 sq cm
  30. 180 sq cm
  31. 216 sq cm
  32. 3 cm
  33. 50 cm
  34. 160 sq cm
  35. 100 sq cm
  36. 11 cm
  37. 24 sq cm
  38. 52 sq cm
  39. 196 sq cm
  40. 55 sq cm

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