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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 406 · 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 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 102 cm (d) 40 cm
  2. 2.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
  3. 3.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 45 cm (c) 133 cm (d) 52 cm
  4. 4.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
  5. 5.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 12 cm (c) 14 cm (d) 8 cm
  6. 6.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 72 sq cm (d) 81 sq cm
  7. 7.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 32 cm (b) 6 cm (c) 3 cm (d) 4 cm
  8. 8.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 1 cm (b) 3 cm (c) 4 cm (d) 2 cm
  9. 9.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 21 cm (b) 34 cm (c) 104 cm (d) 42 cm
  10. 10.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  11. 11.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 11 sq cm (c) 24 sq cm (d) 22 sq cm
  12. 12.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  13. 13.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 40 cm (c) 26 cm (d) 13 cm
  14. 14.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 198 cm (c) 12 cm (d) 13 cm
  15. 15.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
  16. 16.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 33 sq cm (c) 14 sq cm (d) 28 sq cm
  17. 17.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
  18. 18.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 160 cm (c) 52 cm (d) 26 cm
  19. 19.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 10 cm (d) 20 cm
  20. 20.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 180 cm (d) 42 cm
  21. 21.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  22. 22.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
  23. 23.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 75 sq cm (c) 19 sq cm (d) 38 sq cm
  24. 24.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 24 cm (c) 44 cm (d) 48 cm
  25. 25.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 12 cm (c) 13 cm (d) 24 cm
  26. 26.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 96 cm (c) 38 cm (d) 44 cm
  27. 27.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  28. 28.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 165 cm (b) 26 cm (c) 52 cm (d) 41 cm
  29. 29.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 36 sq cm (c) 30 sq cm (d) 22 sq cm
  30. 30.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 182 sq cm (c) 52 sq cm (d) 168 sq cm
  31. 31.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 4 cm (c) 30 cm (d) 3 cm
  32. 32.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 24 cm (c) 143 cm (d) 12 cm
  33. 33.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 10 cm (c) 18 cm (d) 9 cm
  34. 34.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 36 cm (d) 26 cm
  35. 35.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 27 cm (c) 21 cm (d) 24 cm
  36. 36.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 38 cm (c) 78 cm (d) 19 cm
  37. 37.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 110 cm (c) 42 cm (d) 32 cm
  38. 38.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 72 cm
  39. 39.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 54 sq cm (c) 30 sq cm (d) 15 sq cm
  40. 40.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 22 cm (c) 180 cm (d) 11 cm

Answer key

  1. 46 cm
  2. 225 sq cm
  3. 52 cm
  4. 144 sq cm
  5. 16 cm
  6. 72 sq cm
  7. 3 cm
  8. 2 cm
  9. 42 cm
  10. 169 sq cm
  11. 24 sq cm
  12. 49 sq cm
  13. 26 cm
  14. 12 cm
  15. 64 sq cm
  16. 33 sq cm
  17. 36 sq cm
  18. 52 cm
  19. 20 cm
  20. 54 cm
  21. 25 sq cm
  22. 100 sq cm
  23. 60 sq cm
  24. 48 cm
  25. 12 cm
  26. 44 cm
  27. 121 sq cm
  28. 52 cm
  29. 30 sq cm
  30. 168 sq cm
  31. 3 cm
  32. 12 cm
  33. 9 cm
  34. 26 cm
  35. 24 cm
  36. 38 cm
  37. 42 cm
  38. 7 cm
  39. 54 sq cm
  40. 11 cm

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