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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 283 · 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 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 225 sq cm (d) 56 sq cm
  2. 2.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 14 cm (c) 114 cm (d) 7 cm
  3. 3.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 27 sq cm
  4. 4.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 48 sq cm (d) 64 sq cm
  5. 5.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) 6 cm (d) 45 cm
  6. 6.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 200 sq cm (d) 220 sq cm
  7. 7.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
  8. 8.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
  9. 9.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
  10. 10.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 31 cm (c) 84 cm (d) 38 cm
  11. 11.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 209 cm
  12. 12.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
  13. 13.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 4 cm (c) 15 cm (d) 8 cm
  14. 14.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 7 cm (c) 84 cm (d) 14 cm
  15. 15.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  16. 16.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
  17. 17.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 66 sq cm (b) 32 sq cm (c) 55 sq cm (d) 16 sq cm
  18. 18.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 30 sq cm (d) 40 sq cm
  19. 19.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 48 cm (d) 22 cm
  20. 20.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 43 cm (b) 176 cm (c) 27 cm (d) 54 cm
  21. 21.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 80 cm (c) 48 cm (d) 44 cm
  22. 22.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
  23. 23.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 170 sq cm (c) 54 sq cm (d) 27 sq cm
  24. 24.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 17 cm (c) 26 cm (d) 34 cm
  25. 25.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
  26. 26.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 40 sq cm (d) 48 sq cm
  27. 27.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 10 cm (c) 20 cm (d) 11 cm
  28. 28.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 22 cm (b) 36 cm (c) 44 cm (d) 112 cm
  29. 29.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
  30. 30.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 31 cm (c) 62 cm (d) 228 cm
  31. 31.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 21 cm (c) 27 cm (d) 24 cm
  32. 32.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 140 cm (c) 9 cm (d) 8 cm
  33. 33.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 30 cm (c) 3 cm (d) 4 cm
  34. 34.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 6 cm (c) 24 cm (d) 3 cm
  35. 35.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 112 sq cm (d) 126 sq cm
  36. 36.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 36 cm (c) 20 cm (d) 64 cm
  37. 37.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 52 sq cm (c) 160 sq cm (d) 26 sq cm
  38. 38.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 162 cm (c) 27 cm (d) 54 cm
  39. 39.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 154 cm
  40. 40.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm

Answer key

  1. 196 sq cm
  2. 7 cm
  3. 27 sq cm
  4. 48 sq cm
  5. 6 cm
  6. 200 sq cm
  7. 225 sq cm
  8. 48 sq cm
  9. 169 sq cm
  10. 38 cm
  11. 12 cm
  12. 18 sq cm
  13. 4 cm
  14. 7 cm
  15. 100 sq cm
  16. 25 sq cm
  17. 55 sq cm
  18. 30 sq cm
  19. 28 cm
  20. 54 cm
  21. 48 cm
  22. 81 sq cm
  23. 170 sq cm
  24. 34 cm
  25. 49 sq cm
  26. 40 sq cm
  27. 10 cm
  28. 44 cm
  29. 36 sq cm
  30. 62 cm
  31. 24 cm
  32. 8 cm
  33. 3 cm
  34. 3 cm
  35. 112 sq cm
  36. 40 cm
  37. 160 sq cm
  38. 54 cm
  39. 12 cm
  40. 121 sq cm

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