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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 670 · 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 80 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 64 cm
  2. 2.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 204 cm (c) 58 cm (d) 46 cm
  3. 3.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 50 cm (b) 41 cm (c) 144 cm (d) 25 cm
  4. 4.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 108 cm
  5. 5.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 24 cm (c) 13 cm (d) 12 cm
  6. 6.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 13 sq cm (c) 49 sq cm (d) 26 sq cm
  7. 7.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
  8. 8.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 22 cm (d) 14 cm
  9. 9.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 38 cm (c) 20 cm (d) 40 cm
  10. 10.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  11. 11.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 20 cm (c) 11 cm (d) 10 cm
  12. 12.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 136 cm (b) 50 cm (c) 42 cm (d) 25 cm
  13. 13.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 11 cm (c) 170 cm (d) 12 cm
  14. 14.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
  15. 15.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 160 cm
  16. 16.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 28 cm (c) 4 cm (d) 6 cm
  17. 17.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 52 sq cm (b) 182 sq cm (c) 168 sq cm (d) 26 sq cm
  18. 18.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  19. 19.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
  20. 20.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  21. 21.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 14 sq cm (c) 24 sq cm (d) 28 sq cm
  22. 22.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 18 cm (d) 20 cm
  23. 23.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 80 cm (c) 10 cm (d) 9 cm
  24. 24.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 20 sq cm (b) 90 sq cm (c) 40 sq cm (d) 75 sq cm
  25. 25.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
  26. 26.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 168 cm (c) 26 cm (d) 52 cm
  27. 27.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 20 cm (c) 144 cm (d) 11 cm
  28. 28.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  29. 29.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 180 cm (c) 11 cm (d) 22 cm
  30. 30.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 135 cm (b) 24 cm (c) 39 cm (d) 48 cm
  31. 31.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 33 sq cm (d) 44 sq cm
  32. 32.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 112 cm (b) 22 cm (c) 36 cm (d) 44 cm
  33. 33.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 38 cm (c) 29 cm (d) 19 cm
  34. 34.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 4 cm (c) 5 cm (d) 8 cm
  35. 35.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 4 cm (c) 5 cm (d) 8 cm
  36. 36.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 20 sq cm (c) 10 sq cm (d) 28 sq cm
  37. 37.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 44 cm (c) 26 cm (d) 15 cm
  38. 38.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 104 cm (c) 18 cm (d) 10 cm
  39. 39.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 42 cm (c) 13 cm (d) 20 cm
  40. 40.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 39 cm (c) 54 cm (d) 42 cm

Answer key

  1. 5 cm
  2. 58 cm
  3. 50 cm
  4. 7 cm
  5. 12 cm
  6. 42 sq cm
  7. 25 sq cm
  8. 28 cm
  9. 40 cm
  10. 144 sq cm
  11. 10 cm
  12. 50 cm
  13. 11 cm
  14. 49 sq cm
  15. 11 cm
  16. 3 cm
  17. 168 sq cm
  18. 81 sq cm
  19. 100 sq cm
  20. 64 sq cm
  21. 24 sq cm
  22. 22 cm
  23. 9 cm
  24. 75 sq cm
  25. 18 sq cm
  26. 52 cm
  27. 10 cm
  28. 169 sq cm
  29. 11 cm
  30. 48 cm
  31. 33 sq cm
  32. 44 cm
  33. 38 cm
  34. 4 cm
  35. 4 cm
  36. 21 sq cm
  37. 30 cm
  38. 9 cm
  39. 26 cm
  40. 42 cm

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