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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 227 · 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 13 cm long and 11 cm wide. What is its area? (a) 143 sq cm (b) 156 sq cm (c) 24 sq cm (d) 48 sq cm
  2. 2.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 51 sq cm (b) 34 sq cm (c) 19 sq cm (d) 38 sq cm
  3. 3.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  4. 4.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 16 cm (c) 25 cm (d) 32 cm
  5. 5.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
  6. 6.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 24 cm (c) 209 cm (d) 12 cm
  7. 7.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  8. 8.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 76 cm
  9. 9.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 27 cm (b) 42 cm (c) 180 cm (d) 54 cm
  10. 10.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 9 cm (c) 120 cm (d) 18 cm
  11. 11.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 204 sq cm (b) 187 sq cm (c) 56 sq cm (d) 28 sq cm
  12. 12.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 28 sq cm (c) 160 sq cm (d) 56 sq cm
  13. 13.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 45 sq cm (b) 17 sq cm (c) 30 sq cm (d) 34 sq cm
  14. 14.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  15. 15.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 19 cm (c) 38 cm (d) 34 cm
  16. 16.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  17. 17.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 26 cm (d) 24 cm
  18. 18.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 24 sq cm (c) 20 sq cm (d) 10 sq cm
  19. 19.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 12 cm (b) 50 cm (c) 7 cm (d) 6 cm
  20. 20.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 52 cm (b) 30 cm (c) 34 cm (d) 17 cm
  21. 21.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 91 cm (b) 20 cm (c) 40 cm (d) 33 cm
  22. 22.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 45 cm
  23. 23.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 36 sq cm (d) 30 sq cm
  24. 24.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 6 cm (c) 4 cm (d) 3 cm
  25. 25.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 52 sq cm (c) 26 sq cm (d) 170 sq cm
  26. 26.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 54 cm (c) 162 cm (d) 27 cm
  27. 27.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 15 sq cm (c) 63 sq cm (d) 30 sq cm
  28. 28.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 180 sq cm (d) 195 sq cm
  29. 29.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 162 sq cm (c) 26 sq cm (d) 52 sq cm
  30. 30.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 54 sq cm (c) 45 sq cm (d) 14 sq cm
  31. 31.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 4 cm (c) 30 cm (d) 5 cm
  32. 32.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 14 cm (c) 7 cm (d) 8 cm
  33. 33.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 28 sq cm (c) 36 sq cm (d) 14 sq cm
  34. 34.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  35. 35.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 48 cm (c) 35 cm (d) 38 cm
  36. 36.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 39 sq cm (d) 26 sq cm
  37. 37.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 12 sq cm (d) 18 sq cm
  38. 38.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 39 sq cm (b) 32 sq cm (c) 16 sq cm (d) 52 sq cm
  39. 39.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 14 cm (c) 48 cm (d) 28 cm
  40. 40.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 2 cm (b) 4 cm (c) 12 cm (d) 3 cm

Answer key

  1. 143 sq cm
  2. 34 sq cm
  3. 64 sq cm
  4. 32 cm
  5. 25 sq cm
  6. 12 cm
  7. 100 sq cm
  8. 5 cm
  9. 54 cm
  10. 9 cm
  11. 187 sq cm
  12. 160 sq cm
  13. 30 sq cm
  14. 169 sq cm
  15. 38 cm
  16. 81 sq cm
  17. 28 cm
  18. 16 sq cm
  19. 6 cm
  20. 34 cm
  21. 40 cm
  22. 6 cm
  23. 30 sq cm
  24. 3 cm
  25. 153 sq cm
  26. 54 cm
  27. 54 sq cm
  28. 180 sq cm
  29. 144 sq cm
  30. 45 sq cm
  31. 4 cm
  32. 7 cm
  33. 24 sq cm
  34. 36 sq cm
  35. 38 cm
  36. 26 sq cm
  37. 12 sq cm
  38. 39 sq cm
  39. 28 cm
  40. 2 cm

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