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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 438 · 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 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  2. 2.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 38 sq cm (c) 19 sq cm (d) 84 sq cm
  3. 3.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 7 cm (c) 14 cm (d) 8 cm
  4. 4.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 10 cm (c) 2 cm (d) 3 cm
  5. 5.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 169 sq cm (d) 52 sq cm
  6. 6.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 27 sq cm (c) 162 sq cm (d) 54 sq cm
  7. 7.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 28 cm (b) 187 cm (c) 45 cm (d) 56 cm
  8. 8.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 225 sq cm (d) 56 sq cm
  9. 9.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 22 cm (c) 11 cm (d) 12 cm
  10. 10.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 5 cm (c) 21 cm (d) 4 cm
  11. 11.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 18 sq cm (c) 27 sq cm (d) 22 sq cm
  12. 12.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 2 cm (b) 4 cm (c) 17 cm (d) 3 cm
  13. 13.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
  14. 14.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 28 sq cm (c) 14 sq cm (d) 36 sq cm
  15. 15.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 72 cm (b) 22 cm (c) 40 cm (d) 44 cm
  16. 16.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 55 cm
  17. 17.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 3 cm (c) 34 cm (d) 4 cm
  18. 18.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 38 cm (b) 3 cm (c) 4 cm (d) 6 cm
  19. 19.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 57 sq cm (d) 76 sq cm
  20. 20.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
  21. 21.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 22 cm (c) 12 cm (d) 11 cm
  22. 22.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 88 sq cm (b) 99 sq cm (c) 38 sq cm (d) 19 sq cm
  23. 23.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 38 cm (b) 44 cm (c) 22 cm (d) 96 cm
  24. 24.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 136 cm (b) 50 cm (c) 25 cm (d) 42 cm
  25. 25.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 9 cm (d) 18 cm
  26. 26.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 52 cm (b) 153 cm (c) 26 cm (d) 43 cm
  27. 27.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 190 cm (c) 12 cm (d) 11 cm
  28. 28.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 38 sq cm (c) 75 sq cm (d) 19 sq cm
  29. 29.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 40 cm
  30. 30.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 240 sq cm (c) 220 sq cm (d) 62 sq cm
  31. 31.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 20 cm (d) 18 cm
  32. 32.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 28 sq cm (b) 190 sq cm (c) 56 sq cm (d) 171 sq cm
  33. 33.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 12 sq cm (d) 30 sq cm
  34. 34.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 19 cm (d) 11 cm
  35. 35.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
  36. 36.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
  37. 37.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 156 cm (d) 38 cm
  38. 38.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
  39. 39.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 16 cm (d) 10 cm
  40. 40.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 27 sq cm (c) 12 sq cm (d) 36 sq cm

Answer key

  1. 49 sq cm
  2. 84 sq cm
  3. 7 cm
  4. 2 cm
  5. 169 sq cm
  6. 162 sq cm
  7. 56 cm
  8. 196 sq cm
  9. 11 cm
  10. 4 cm
  11. 18 sq cm
  12. 2 cm
  13. 64 sq cm
  14. 24 sq cm
  15. 44 cm
  16. 6 cm
  17. 3 cm
  18. 3 cm
  19. 57 sq cm
  20. 25 sq cm
  21. 11 cm
  22. 88 sq cm
  23. 44 cm
  24. 50 cm
  25. 18 cm
  26. 52 cm
  27. 11 cm
  28. 60 sq cm
  29. 6 cm
  30. 220 sq cm
  31. 22 cm
  32. 171 sq cm
  33. 20 sq cm
  34. 22 cm
  35. 121 sq cm
  36. 33 sq cm
  37. 50 cm
  38. 26 cm
  39. 20 cm
  40. 27 sq cm

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