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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 684 · 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 128 sq cm and a length of 16 cm. What is its width? (a) 112 cm (b) 16 cm (c) 8 cm (d) 9 cm
  2. 2.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
  3. 3.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 24 sq cm (d) 9 sq cm
  4. 4.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
  5. 5.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  6. 6.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 176 sq cm (c) 27 sq cm (d) 54 sq cm
  7. 7.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
  8. 8.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 50 sq cm (d) 60 sq cm
  9. 9.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
  10. 10.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 6 cm (c) 12 cm (d) 7 cm
  11. 11.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 56 sq cm (b) 198 sq cm (c) 180 sq cm (d) 28 sq cm
  12. 12.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 21 cm (c) 26 cm (d) 40 cm
  13. 13.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 51 sq cm (c) 34 sq cm (d) 19 sq cm
  14. 14.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 22 cm (c) 140 cm (d) 11 cm
  15. 15.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 34 cm (c) 22 cm (d) 120 cm
  16. 16.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 90 sq cm (d) 108 sq cm
  17. 17.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 16 cm (c) 32 cm (d) 28 cm
  18. 18.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 48 cm (c) 8 cm (d) 5 cm
  19. 19.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 180 cm
  20. 20.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 36 cm
  21. 21.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 11 sq cm (c) 35 sq cm (d) 22 sq cm
  22. 22.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 10 cm (c) 5 cm (d) 6 cm
  23. 23.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 9 cm (c) 18 cm (d) 16 cm
  24. 24.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
  25. 25.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 102 cm (b) 23 cm (c) 46 cm (d) 40 cm
  26. 26.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 3 cm (c) 16 cm (d) 2 cm
  27. 27.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 40 sq cm (c) 13 sq cm (d) 26 sq cm
  28. 28.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 90 cm (b) 46 cm (c) 23 cm (d) 41 cm
  29. 29.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 48 sq cm (c) 60 sq cm (d) 32 sq cm
  30. 30.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 91 sq cm (b) 38 sq cm (c) 78 sq cm (d) 19 sq cm
  31. 31.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 16 sq cm
  32. 32.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 28 cm (c) 18 cm (d) 36 cm
  33. 33.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 140 cm (d) 38 cm
  34. 34.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 70 cm (c) 7 cm (d) 6 cm
  35. 35.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 14 cm (c) 4 cm (d) 6 cm
  36. 36.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 11 sq cm (c) 22 sq cm (d) 32 sq cm
  37. 37.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 11 cm (c) 20 cm (d) 10 cm
  38. 38.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 62 sq cm (c) 228 sq cm (d) 31 sq cm
  39. 39.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 31 cm (b) 20 cm (c) 99 cm (d) 40 cm
  40. 40.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 22 cm (b) 35 cm (c) 117 cm (d) 44 cm

Answer key

  1. 8 cm
  2. 121 sq cm
  3. 18 sq cm
  4. 225 sq cm
  5. 25 sq cm
  6. 176 sq cm
  7. 169 sq cm
  8. 50 sq cm
  9. 81 sq cm
  10. 6 cm
  11. 180 sq cm
  12. 26 cm
  13. 34 sq cm
  14. 11 cm
  15. 44 cm
  16. 90 sq cm
  17. 32 cm
  18. 4 cm
  19. 10 cm
  20. 3 cm
  21. 28 sq cm
  22. 5 cm
  23. 18 cm
  24. 100 sq cm
  25. 46 cm
  26. 2 cm
  27. 40 sq cm
  28. 46 cm
  29. 48 sq cm
  30. 78 sq cm
  31. 16 sq cm
  32. 36 cm
  33. 48 cm
  34. 6 cm
  35. 3 cm
  36. 24 sq cm
  37. 10 cm
  38. 228 sq cm
  39. 40 cm
  40. 44 cm

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