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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 607 · 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 is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 15 cm (c) 30 cm (d) 27 cm
  2. 2.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
  3. 3.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 10 cm (c) 60 cm (d) 6 cm
  4. 4.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 38 cm (c) 19 cm (d) 29 cm
  5. 5.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
  6. 6.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  7. 7.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 11 sq cm (c) 22 sq cm (d) 27 sq cm
  8. 8.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 40 sq cm (c) 12 sq cm (d) 32 sq cm
  9. 9.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 80 sq cm (c) 90 sq cm (d) 18 sq cm
  10. 10.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 52 cm (b) 165 cm (c) 26 cm (d) 41 cm
  11. 11.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  12. 12.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  13. 13.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 13 cm (c) 24 cm (d) 12 cm
  14. 14.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
  15. 15.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 30 cm (c) 15 cm (d) 25 cm
  16. 16.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 90 sq cm (c) 75 sq cm (d) 20 sq cm
  17. 17.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 38 cm (c) 19 cm (d) 33 cm
  18. 18.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 64 sq cm (b) 48 sq cm (c) 38 sq cm (d) 19 sq cm
  19. 19.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 81 sq cm (d) 16 sq cm
  20. 20.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 33 cm (b) 91 cm (c) 40 cm (d) 20 cm
  21. 21.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 18 cm (c) 9 cm (d) 16 cm
  22. 22.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 27 cm (c) 54 cm (d) 44 cm
  23. 23.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 56 cm (c) 32 cm (d) 36 cm
  24. 24.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 42 cm (c) 4 cm (d) 8 cm
  25. 25.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
  26. 26.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 10 cm (c) 120 cm (d) 18 cm
  27. 27.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 18 cm (c) 104 cm (d) 10 cm
  28. 28.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 144 cm
  29. 29.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 64 sq cm (b) 40 sq cm (c) 20 sq cm (d) 80 sq cm
  30. 30.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 40 sq cm (c) 13 sq cm (d) 26 sq cm
  31. 31.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 22 cm (c) 150 cm (d) 12 cm
  32. 32.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 24 cm (c) 5 cm (d) 4 cm
  33. 33.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 133 sq cm (b) 152 sq cm (c) 26 sq cm (d) 52 sq cm
  34. 34.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 15 cm
  35. 35.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 42 cm (c) 21 cm (d) 38 cm
  36. 36.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 40 cm (c) 14 cm (d) 24 cm
  37. 37.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 20 cm (c) 10 cm (d) 17 cm
  38. 38.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  39. 39.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 99 cm (c) 20 cm (d) 11 cm
  40. 40.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 20 cm (b) 11 cm (c) 171 cm (d) 10 cm

Answer key

  1. 30 cm
  2. 42 sq cm
  3. 5 cm
  4. 38 cm
  5. 10 cm
  6. 144 sq cm
  7. 18 sq cm
  8. 32 sq cm
  9. 80 sq cm
  10. 52 cm
  11. 25 sq cm
  12. 169 sq cm
  13. 12 cm
  14. 225 sq cm
  15. 30 cm
  16. 75 sq cm
  17. 38 cm
  18. 48 sq cm
  19. 64 sq cm
  20. 40 cm
  21. 18 cm
  22. 54 cm
  23. 36 cm
  24. 4 cm
  25. 81 sq cm
  26. 9 cm
  27. 9 cm
  28. 9 cm
  29. 64 sq cm
  30. 30 sq cm
  31. 11 cm
  32. 4 cm
  33. 133 sq cm
  34. 2 cm
  35. 42 cm
  36. 28 cm
  37. 20 cm
  38. 49 sq cm
  39. 10 cm
  40. 10 cm

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