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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 558 · 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 57 sq cm and a length of 19 cm. What is its width? (a) 38 cm (b) 4 cm (c) 3 cm (d) 6 cm
  2. 2.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 4 cm (c) 30 cm (d) 5 cm
  3. 3.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 58 cm (b) 29 cm (c) 180 cm (d) 49 cm
  4. 4.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
  5. 5.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 78 cm (b) 7 cm (c) 8 cm (d) 14 cm
  6. 6.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 23 sq cm (c) 46 sq cm (d) 76 sq cm
  7. 7.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 11 cm (c) 180 cm (d) 20 cm
  8. 8.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
  9. 9.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 28 sq cm (d) 42 sq cm
  10. 10.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 6 cm (c) 60 cm (d) 12 cm
  11. 11.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 110 cm (c) 42 cm (d) 32 cm
  12. 12.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 34 cm (c) 17 cm (d) 52 cm
  13. 13.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 120 sq cm (c) 26 sq cm (d) 140 sq cm
  14. 14.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 33 cm
  15. 15.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 153 sq cm (c) 26 sq cm (d) 170 sq cm
  16. 16.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 40 cm (c) 38 cm (d) 20 cm
  17. 17.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 81 sq cm (d) 32 sq cm
  18. 18.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 14 cm (c) 16 cm (d) 12 cm
  19. 19.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 54 cm (b) 43 cm (c) 176 cm (d) 27 cm
  20. 20.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 20 cm (c) 10 cm (d) 21 cm
  21. 21.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 12 sq cm (c) 24 sq cm (d) 20 sq cm
  22. 22.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 112 sq cm (d) 96 sq cm
  23. 23.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 12 cm (c) 198 cm (d) 24 cm
  24. 24.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 23 cm (d) 30 cm
  25. 25.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 64 sq cm (b) 38 sq cm (c) 48 sq cm (d) 19 sq cm
  26. 26.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 48 cm (d) 28 cm
  27. 27.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 25 cm (c) 33 cm (d) 14 cm
  28. 28.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 29 cm (b) 77 cm (c) 18 cm (d) 36 cm
  29. 29.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
  30. 30.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 220 cm
  31. 31.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 55 cm (b) 16 cm (c) 32 cm (d) 27 cm
  32. 32.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 78 sq cm (b) 91 sq cm (c) 19 sq cm (d) 38 sq cm
  33. 33.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
  34. 34.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 19 sq cm (c) 24 sq cm (d) 18 sq cm
  35. 35.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 66 cm
  36. 36.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 36 sq cm (c) 45 sq cm (d) 26 sq cm
  37. 37.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  38. 38.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 90 sq cm (c) 100 sq cm (d) 38 sq cm
  39. 39.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
  40. 40.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 13 sq cm (c) 42 sq cm (d) 26 sq cm

Answer key

  1. 3 cm
  2. 4 cm
  3. 58 cm
  4. 196 sq cm
  5. 7 cm
  6. 76 sq cm
  7. 10 cm
  8. 49 sq cm
  9. 28 sq cm
  10. 6 cm
  11. 42 cm
  12. 34 cm
  13. 120 sq cm
  14. 4 cm
  15. 153 sq cm
  16. 40 cm
  17. 64 sq cm
  18. 16 cm
  19. 54 cm
  20. 20 cm
  21. 20 sq cm
  22. 96 sq cm
  23. 12 cm
  24. 26 cm
  25. 48 sq cm
  26. 32 cm
  27. 28 cm
  28. 36 cm
  29. 121 sq cm
  30. 12 cm
  31. 32 cm
  32. 78 sq cm
  33. 100 sq cm
  34. 18 sq cm
  35. 7 cm
  36. 36 sq cm
  37. 144 sq cm
  38. 90 sq cm
  39. 225 sq cm
  40. 42 sq cm

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