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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 353 · 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 64 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 5 cm (c) 48 cm (d) 8 cm
  2. 2.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 24 cm (c) 12 cm (d) 13 cm
  3. 3.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 22 cm (c) 35 cm (d) 44 cm
  4. 4.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 36 sq cm (d) 20 sq cm
  5. 5.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 54 sq cm (c) 72 sq cm (d) 42 sq cm
  6. 6.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 153 sq cm (d) 170 sq cm
  7. 7.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 42 sq cm (c) 12 sq cm (d) 24 sq cm
  8. 8.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 32 cm (b) 40 cm (c) 96 cm (d) 20 cm
  9. 9.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 10 cm (c) 20 cm (d) 17 cm
  10. 10.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 9 cm (c) 16 cm (d) 8 cm
  11. 11.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 19 sq cm (c) 24 sq cm (d) 9 sq cm
  12. 12.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 24 sq cm (d) 22 sq cm
  13. 13.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 28 cm
  14. 14.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 30 cm (c) 17 cm (d) 22 cm
  15. 15.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 140 cm (c) 12 cm (d) 11 cm
  16. 16.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 48 sq cm (c) 40 sq cm (d) 26 sq cm
  17. 17.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 7 cm (c) 48 cm (d) 14 cm
  18. 18.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 100 sq cm (d) 18 sq cm
  19. 19.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 221 sq cm (b) 204 sq cm (c) 58 sq cm (d) 29 sq cm
  20. 20.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 182 sq cm (b) 52 sq cm (c) 168 sq cm (d) 26 sq cm
  21. 21.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  22. 22.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 21 cm (c) 4 cm (d) 5 cm
  23. 23.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 102 sq cm (d) 85 sq cm
  24. 24.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 165 sq cm (c) 180 sq cm (d) 26 sq cm
  25. 25.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 54 cm (b) 46 cm (c) 152 cm (d) 27 cm
  26. 26.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 58 sq cm (c) 29 sq cm (d) 198 sq cm
  27. 27.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 36 cm (c) 23 cm (d) 46 cm
  28. 28.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 32 sq cm (c) 16 sq cm (d) 48 sq cm
  29. 29.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 68 sq cm (d) 85 sq cm
  30. 30.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 9 cm (c) 152 cm (d) 18 cm
  31. 31.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
  32. 32.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 23 sq cm (b) 119 sq cm (c) 102 sq cm (d) 46 sq cm
  33. 33.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 8 cm (c) 133 cm (d) 9 cm
  34. 34.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 117 sq cm (c) 42 sq cm (d) 21 sq cm
  35. 35.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 18 cm (d) 28 cm
  36. 36.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 5 cm (c) 39 cm (d) 8 cm
  37. 37.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 18 cm (d) 9 cm
  38. 38.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 11 cm (c) 20 cm (d) 10 cm
  39. 39.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 30 sq cm (d) 45 sq cm
  40. 40.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm

Answer key

  1. 4 cm
  2. 12 cm
  3. 44 cm
  4. 25 sq cm
  5. 54 sq cm
  6. 153 sq cm
  7. 35 sq cm
  8. 40 cm
  9. 20 cm
  10. 8 cm
  11. 18 sq cm
  12. 24 sq cm
  13. 3 cm
  14. 22 cm
  15. 11 cm
  16. 40 sq cm
  17. 7 cm
  18. 81 sq cm
  19. 204 sq cm
  20. 168 sq cm
  21. 36 sq cm
  22. 4 cm
  23. 85 sq cm
  24. 165 sq cm
  25. 54 cm
  26. 198 sq cm
  27. 46 cm
  28. 48 sq cm
  29. 68 sq cm
  30. 9 cm
  31. 225 sq cm
  32. 102 sq cm
  33. 8 cm
  34. 104 sq cm
  35. 22 cm
  36. 4 cm
  37. 18 cm
  38. 10 cm
  39. 30 sq cm
  40. 121 sq cm

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