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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 167 · 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 15 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 6 cm (c) 10 cm (d) 3 cm
  2. 2.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
  3. 3.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 52 cm
  4. 4.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 51 cm (b) 40 cm (c) 20 cm (d) 37 cm
  5. 5.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 15 cm
  6. 6.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 33 cm (c) 36 cm (d) 18 cm
  7. 7.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
  8. 8.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 187 sq cm (c) 27 sq cm (d) 54 sq cm
  9. 9.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
  10. 10.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 2 cm (c) 12 cm (d) 4 cm
  11. 11.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
  12. 12.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 15 cm (c) 26 cm (d) 30 cm
  13. 13.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 31 sq cm (c) 220 sq cm (d) 62 sq cm
  14. 14.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 32 sq cm (c) 40 sq cm (d) 24 sq cm
  15. 15.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 85 cm (b) 39 cm (c) 44 cm (d) 22 cm
  16. 16.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
  17. 17.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 14 cm (c) 28 cm (d) 45 cm
  18. 18.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 48 sq cm (d) 14 sq cm
  19. 19.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 21 cm (c) 12 cm (d) 24 cm
  20. 20.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 38 cm
  21. 21.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 52 cm (c) 34 cm (d) 17 cm
  22. 22.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 54 cm (b) 170 cm (c) 44 cm (d) 27 cm
  23. 23.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 95 cm (b) 43 cm (c) 24 cm (d) 48 cm
  24. 24.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 187 cm (d) 45 cm
  25. 25.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 64 sq cm (c) 30 sq cm (d) 56 sq cm
  26. 26.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 19 cm (c) 38 cm (d) 78 cm
  27. 27.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 20 sq cm (d) 40 sq cm
  28. 28.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 54 sq cm (b) 180 sq cm (c) 162 sq cm (d) 27 sq cm
  29. 29.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 19 cm (c) 35 cm (d) 24 cm
  30. 30.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 114 cm (c) 8 cm (d) 7 cm
  31. 31.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 21 cm (c) 42 cm (d) 54 cm
  32. 32.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 49 cm (b) 180 cm (c) 29 cm (d) 58 cm
  33. 33.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) 11 cm (d) 144 cm
  34. 34.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
  35. 35.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
  36. 36.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 228 sq cm (b) 209 sq cm (c) 60 sq cm (d) 30 sq cm
  37. 37.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 17 cm
  38. 38.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 187 cm
  39. 39.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 56 cm (b) 171 cm (c) 28 cm (d) 47 cm
  40. 40.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 40 cm (c) 13 cm (d) 21 cm

Answer key

  1. 3 cm
  2. 121 sq cm
  3. 5 cm
  4. 40 cm
  5. 4 cm
  6. 36 cm
  7. 225 sq cm
  8. 170 sq cm
  9. 144 sq cm
  10. 2 cm
  11. 25 sq cm
  12. 30 cm
  13. 220 sq cm
  14. 32 sq cm
  15. 44 cm
  16. 169 sq cm
  17. 28 cm
  18. 48 sq cm
  19. 24 cm
  20. 3 cm
  21. 34 cm
  22. 54 cm
  23. 48 cm
  24. 56 cm
  25. 56 sq cm
  26. 38 cm
  27. 100 sq cm
  28. 162 sq cm
  29. 24 cm
  30. 7 cm
  31. 42 cm
  32. 58 cm
  33. 10 cm
  34. 36 sq cm
  35. 196 sq cm
  36. 209 sq cm
  37. 2 cm
  38. 12 cm
  39. 56 cm
  40. 26 cm

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