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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 236 · 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 32 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 8 cm (c) 24 cm (d) 5 cm
  2. 2.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 126 sq cm (b) 140 sq cm (c) 46 sq cm (d) 23 sq cm
  3. 3.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 22 sq cm (c) 11 sq cm (d) 18 sq cm
  4. 4.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 18 cm (c) 120 cm (d) 10 cm
  5. 5.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 11 cm (c) 140 cm (d) 12 cm
  6. 6.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 12 cm (c) 22 cm (d) 11 cm
  7. 7.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 90 cm (b) 23 cm (c) 46 cm (d) 41 cm
  8. 8.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 15 sq cm (c) 30 sq cm (d) 54 sq cm
  9. 9.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 221 sq cm (d) 204 sq cm
  10. 10.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  11. 11.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 187 sq cm (c) 27 sq cm (d) 170 sq cm
  12. 12.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 33 cm (c) 70 cm (d) 38 cm
  13. 13.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
  14. 14.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 36 cm (b) 6 cm (c) 10 cm (d) 5 cm
  15. 15.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 40 cm (c) 24 cm (d) 28 cm
  16. 16.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  17. 17.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 42 sq cm (c) 21 sq cm (d) 104 sq cm
  18. 18.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 80 cm (c) 18 cm (d) 10 cm
  19. 19.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 56 sq cm (c) 28 sq cm (d) 14 sq cm
  20. 20.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  21. 21.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 18 sq cm (d) 21 sq cm
  22. 22.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 22 sq cm (b) 105 sq cm (c) 120 sq cm (d) 44 sq cm
  23. 23.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 10 cm (c) 162 cm (d) 20 cm
  24. 24.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 31 sq cm (c) 228 sq cm (d) 62 sq cm
  25. 25.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 165 sq cm (d) 150 sq cm
  26. 26.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 48 cm (b) 143 cm (c) 37 cm (d) 24 cm
  27. 27.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 126 sq cm (b) 144 sq cm (c) 25 sq cm (d) 50 sq cm
  28. 28.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 91 sq cm (c) 78 sq cm (d) 19 sq cm
  29. 29.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
  30. 30.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 96 sq cm (b) 80 sq cm (c) 42 sq cm (d) 21 sq cm
  31. 31.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 85 cm (b) 22 cm (c) 39 cm (d) 44 cm
  32. 32.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 44 cm (d) 72 cm
  33. 33.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 29 cm (b) 36 cm (c) 18 cm (d) 77 cm
  34. 34.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 39 sq cm (c) 16 sq cm (d) 32 sq cm
  35. 35.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 190 cm
  36. 36.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 17 cm (c) 34 cm (d) 30 cm
  37. 37.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 14 cm (b) 54 cm (c) 8 cm (d) 7 cm
  38. 38.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 70 sq cm (d) 60 sq cm
  39. 39.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 75 cm
  40. 40.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 63 cm (c) 9 cm (d) 8 cm

Answer key

  1. 4 cm
  2. 126 sq cm
  3. 18 sq cm
  4. 9 cm
  5. 11 cm
  6. 11 cm
  7. 46 cm
  8. 54 sq cm
  9. 204 sq cm
  10. 196 sq cm
  11. 170 sq cm
  12. 38 cm
  13. 121 sq cm
  14. 5 cm
  15. 28 cm
  16. 64 sq cm
  17. 104 sq cm
  18. 9 cm
  19. 48 sq cm
  20. 25 sq cm
  21. 14 sq cm
  22. 105 sq cm
  23. 10 cm
  24. 228 sq cm
  25. 150 sq cm
  26. 48 cm
  27. 126 sq cm
  28. 78 sq cm
  29. 144 sq cm
  30. 80 sq cm
  31. 44 cm
  32. 44 cm
  33. 36 cm
  34. 39 sq cm
  35. 11 cm
  36. 34 cm
  37. 7 cm
  38. 60 sq cm
  39. 6 cm
  40. 8 cm

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