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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 661 · 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 65 sq cm and a length of 13 cm. What is its width? (a) 52 cm (b) 10 cm (c) 6 cm (d) 5 cm
  2. 2.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 170 sq cm (c) 153 sq cm (d) 52 sq cm
  3. 3.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
  4. 4.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 20 cm
  5. 5.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 3 cm (c) 1 cm (d) 4 cm
  6. 6.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 16 sq cm (b) 52 sq cm (c) 32 sq cm (d) 39 sq cm
  7. 7.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 150 cm (c) 11 cm (d) 12 cm
  8. 8.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 34 sq cm (c) 17 sq cm (d) 42 sq cm
  9. 9.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  10. 10.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 22 sq cm (c) 11 sq cm (d) 27 sq cm
  11. 11.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 56 sq cm (d) 196 sq cm
  12. 12.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 47 cm (b) 140 cm (c) 27 cm (d) 54 cm
  13. 13.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
  14. 14.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 21 sq cm (c) 68 sq cm (d) 42 sq cm
  15. 15.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 24 cm (c) 40 cm (d) 14 cm
  16. 16.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 90 sq cm (c) 100 sq cm (d) 19 sq cm
  17. 17.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 154 cm
  18. 18.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 180 cm (b) 54 cm (c) 27 cm (d) 42 cm
  19. 19.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 41 cm (d) 90 cm
  20. 20.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 30 sq cm (b) 200 sq cm (c) 60 sq cm (d) 220 sq cm
  21. 21.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 80 sq cm (c) 40 sq cm (d) 64 sq cm
  22. 22.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 187 cm (c) 12 cm (d) 13 cm
  23. 23.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 30 sq cm (d) 10 sq cm
  24. 24.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 120 sq cm (c) 135 sq cm (d) 46 sq cm
  25. 25.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 152 cm (c) 54 cm (d) 27 cm
  26. 26.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 48 sq cm (c) 15 sq cm (d) 36 sq cm
  27. 27.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 64 cm (b) 36 cm (c) 40 cm (d) 20 cm
  28. 28.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 108 cm (c) 10 cm (d) 20 cm
  29. 29.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 100 sq cm (d) 20 sq cm
  30. 30.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 30 cm (c) 15 cm (d) 25 cm
  31. 31.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 21 cm (c) 10 cm (d) 17 cm
  32. 32.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 2 cm (c) 19 cm (d) 3 cm
  33. 33.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 72 sq cm (d) 90 sq cm
  34. 34.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
  35. 35.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 42 cm (d) 20 cm
  36. 36.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 24 sq cm (d) 169 sq cm
  37. 37.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 51 cm (b) 31 cm (c) 220 cm (d) 62 cm
  38. 38.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 64 sq cm (c) 15 sq cm (d) 56 sq cm
  39. 39.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 2 cm (b) 20 cm (c) 4 cm (d) 3 cm
  40. 40.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 75 cm

Answer key

  1. 5 cm
  2. 153 sq cm
  3. 81 sq cm
  4. 3 cm
  5. 2 cm
  6. 39 sq cm
  7. 11 cm
  8. 42 sq cm
  9. 64 sq cm
  10. 18 sq cm
  11. 196 sq cm
  12. 54 cm
  13. 228 sq cm
  14. 68 sq cm
  15. 28 cm
  16. 90 sq cm
  17. 12 cm
  18. 54 cm
  19. 46 cm
  20. 200 sq cm
  21. 64 sq cm
  22. 12 cm
  23. 24 sq cm
  24. 120 sq cm
  25. 54 cm
  26. 36 sq cm
  27. 40 cm
  28. 10 cm
  29. 100 sq cm
  30. 30 cm
  31. 20 cm
  32. 2 cm
  33. 72 sq cm
  34. 11 cm
  35. 26 cm
  36. 144 sq cm
  37. 62 cm
  38. 56 sq cm
  39. 2 cm
  40. 6 cm

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