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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 750 · 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 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
  2. 2.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 37 cm (b) 105 cm (c) 22 cm (d) 44 cm
  3. 3.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 48 sq cm (c) 32 sq cm (d) 16 sq cm
  4. 4.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 15 sq cm (b) 44 sq cm (c) 30 sq cm (d) 55 sq cm
  5. 5.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 24 cm (c) 13 cm (d) 12 cm
  6. 6.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 26 cm (d) 60 cm
  7. 7.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 190 sq cm (b) 209 sq cm (c) 58 sq cm (d) 29 sq cm
  8. 8.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 143 cm (d) 37 cm
  9. 9.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 12 cm (b) 7 cm (c) 45 cm (d) 6 cm
  10. 10.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 4 cm (c) 12 cm (d) 3 cm
  11. 11.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
  12. 12.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 31 cm (b) 19 cm (c) 84 cm (d) 38 cm
  13. 13.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  14. 14.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 48 cm (d) 38 cm
  15. 15.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 2 cm (c) 16 cm (d) 3 cm
  16. 16.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 120 sq cm (c) 44 sq cm (d) 132 sq cm
  17. 17.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 30 sq cm (d) 13 sq cm
  18. 18.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  19. 19.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 16 sq cm
  20. 20.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 152 cm
  21. 21.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 56 cm (d) 32 cm
  22. 22.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 84 sq cm (c) 38 sq cm (d) 96 sq cm
  23. 23.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 43 cm (b) 54 cm (c) 27 cm (d) 176 cm
  24. 24.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 46 cm (b) 112 cm (c) 39 cm (d) 23 cm
  25. 25.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 15 cm (d) 19 cm
  26. 26.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 54 cm (b) 8 cm (c) 7 cm (d) 14 cm
  27. 27.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
  28. 28.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  29. 29.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 22 cm (c) 190 cm (d) 12 cm
  30. 30.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 26 cm (d) 13 cm
  31. 31.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 46 cm (c) 58 cm (d) 204 cm
  32. 32.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  33. 33.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 36 cm (c) 13 cm (d) 26 cm
  34. 34.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 28 sq cm (d) 14 sq cm
  35. 35.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 156 sq cm (b) 48 sq cm (c) 24 sq cm (d) 143 sq cm
  36. 36.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 34 sq cm (b) 72 sq cm (c) 17 sq cm (d) 60 sq cm
  37. 37.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 4 cm (c) 24 cm (d) 6 cm
  38. 38.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 21 cm (c) 90 cm (d) 42 cm
  39. 39.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 5 cm (c) 4 cm (d) 8 cm
  40. 40.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 180 cm (c) 12 cm (d) 11 cm

Answer key

  1. 169 sq cm
  2. 44 cm
  3. 48 sq cm
  4. 44 sq cm
  5. 12 cm
  6. 32 cm
  7. 190 sq cm
  8. 48 cm
  9. 6 cm
  10. 3 cm
  11. 100 sq cm
  12. 38 cm
  13. 144 sq cm
  14. 38 cm
  15. 2 cm
  16. 120 sq cm
  17. 30 sq cm
  18. 49 sq cm
  19. 16 sq cm
  20. 9 cm
  21. 36 cm
  22. 84 sq cm
  23. 54 cm
  24. 46 cm
  25. 18 cm
  26. 7 cm
  27. 81 sq cm
  28. 25 sq cm
  29. 11 cm
  30. 26 cm
  31. 58 cm
  32. 225 sq cm
  33. 26 cm
  34. 24 sq cm
  35. 143 sq cm
  36. 60 sq cm
  37. 3 cm
  38. 42 cm
  39. 4 cm
  40. 11 cm

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