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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 575 · 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 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
  2. 2.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 38 cm (b) 29 cm (c) 90 cm (d) 19 cm
  3. 3.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 57 cm (c) 5 cm (d) 8 cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  5. 5.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 105 cm (b) 9 cm (c) 8 cm (d) 16 cm
  6. 6.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 160 sq cm (c) 56 sq cm (d) 28 sq cm
  7. 7.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 42 sq cm (d) 13 sq cm
  8. 8.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 2 cm (b) 19 cm (c) 3 cm (d) 4 cm
  9. 9.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 25 cm (c) 45 cm (d) 50 cm
  10. 10.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 46 cm (b) 42 cm (c) 23 cm (d) 76 cm
  11. 11.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 60 cm
  12. 12.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 160 cm (d) 56 cm
  13. 13.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 13 cm (d) 26 cm
  14. 14.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 15 cm (c) 18 cm (d) 19 cm
  15. 15.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
  16. 16.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
  17. 17.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 9 cm (c) 88 cm (d) 10 cm
  18. 18.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 18 sq cm (c) 36 sq cm (d) 48 sq cm
  19. 19.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 3 cm (c) 2 cm (d) 4 cm
  20. 20.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 54 cm (b) 27 cm (c) 47 cm (d) 140 cm
  21. 21.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 20 cm (d) 24 cm
  22. 22.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 10 cm (c) 11 cm (d) 20 cm
  23. 23.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
  24. 24.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 33 cm (d) 70 cm
  25. 25.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 22 sq cm (d) 33 sq cm
  26. 26.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 190 sq cm (c) 29 sq cm (d) 209 sq cm
  27. 27.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 54 cm (b) 170 cm (c) 27 cm (d) 44 cm
  28. 28.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 44 sq cm (d) 33 sq cm
  29. 29.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
  30. 30.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 80 cm (d) 44 cm
  31. 31.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 10 cm (c) 153 cm (d) 11 cm
  32. 32.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 7 cm (c) 85 cm (d) 6 cm
  33. 33.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  34. 34.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 24 cm
  35. 35.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
  36. 36.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 40 sq cm (d) 60 sq cm
  37. 37.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  38. 38.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 48 cm (d) 22 cm
  39. 39.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 28 cm (c) 47 cm (d) 56 cm
  40. 40.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 25 sq cm (b) 150 sq cm (c) 165 sq cm (d) 50 sq cm

Answer key

  1. 121 sq cm
  2. 38 cm
  3. 4 cm
  4. 36 sq cm
  5. 8 cm
  6. 160 sq cm
  7. 42 sq cm
  8. 2 cm
  9. 50 cm
  10. 46 cm
  11. 7 cm
  12. 56 cm
  13. 26 cm
  14. 18 cm
  15. 68 sq cm
  16. 196 sq cm
  17. 9 cm
  18. 32 sq cm
  19. 2 cm
  20. 54 cm
  21. 20 cm
  22. 10 cm
  23. 225 sq cm
  24. 38 cm
  25. 22 sq cm
  26. 190 sq cm
  27. 54 cm
  28. 33 sq cm
  29. 169 sq cm
  30. 48 cm
  31. 10 cm
  32. 6 cm
  33. 81 sq cm
  34. 5 cm
  35. 64 sq cm
  36. 40 sq cm
  37. 25 sq cm
  38. 28 cm
  39. 56 cm
  40. 150 sq cm

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