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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 672 · 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 35 sq cm and a length of 7 cm. What is its width? (a) 28 cm (b) 6 cm (c) 5 cm (d) 10 cm
  2. 2.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 18 cm (b) 8 cm (c) 4 cm (d) 5 cm
  3. 3.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  4. 4.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 20 cm (c) 24 cm (d) 22 cm
  5. 5.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 152 cm (b) 46 cm (c) 54 cm (d) 27 cm
  6. 6.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 190 sq cm (d) 209 sq cm
  7. 7.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 30 sq cm
  8. 8.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
  9. 9.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 65 cm (b) 18 cm (c) 31 cm (d) 36 cm
  10. 10.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 20 cm (c) 153 cm (d) 10 cm
  11. 11.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 30 cm (d) 32 cm
  12. 12.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 72 sq cm (b) 21 sq cm (c) 42 sq cm (d) 54 sq cm
  13. 13.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 18 cm (b) 4 cm (c) 3 cm (d) 6 cm
  14. 14.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
  15. 15.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 32 cm (c) 20 cm (d) 12 cm
  16. 16.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 24 cm (d) 20 cm
  17. 17.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 154 cm (c) 50 cm (d) 25 cm
  18. 18.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
  19. 19.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 28 sq cm (c) 11 sq cm (d) 22 sq cm
  20. 20.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 18 cm (d) 15 cm
  21. 21.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 54 sq cm (c) 36 sq cm (d) 40 sq cm
  22. 22.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 30 cm (d) 17 cm
  23. 23.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 28 cm (c) 14 cm (d) 45 cm
  24. 24.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 24 cm (d) 12 cm
  25. 25.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
  26. 26.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 57 sq cm (b) 22 sq cm (c) 76 sq cm (d) 44 sq cm
  27. 27.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 171 cm
  28. 28.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 15 sq cm (d) 50 sq cm
  29. 29.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
  30. 30.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 45 sq cm (c) 36 sq cm (d) 60 sq cm
  31. 31.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 3 cm (c) 6 cm (d) 4 cm
  32. 32.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 12 cm (c) 90 cm (d) 6 cm
  33. 33.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
  34. 34.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 33 sq cm (c) 22 sq cm (d) 26 sq cm
  35. 35.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  36. 36.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 112 cm (c) 10 cm (d) 9 cm
  37. 37.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 23 sq cm (c) 46 sq cm (d) 80 sq cm
  38. 38.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 80 cm
  39. 39.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 136 sq cm (c) 153 sq cm (d) 25 sq cm
  40. 40.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 48 sq cm (d) 169 sq cm

Answer key

  1. 5 cm
  2. 4 cm
  3. 25 sq cm
  4. 24 cm
  5. 54 cm
  6. 190 sq cm
  7. 24 sq cm
  8. 121 sq cm
  9. 36 cm
  10. 10 cm
  11. 34 cm
  12. 54 sq cm
  13. 3 cm
  14. 64 sq cm
  15. 24 cm
  16. 20 cm
  17. 50 cm
  18. 81 sq cm
  19. 28 sq cm
  20. 18 cm
  21. 36 sq cm
  22. 22 cm
  23. 28 cm
  24. 24 cm
  25. 225 sq cm
  26. 57 sq cm
  27. 10 cm
  28. 50 sq cm
  29. 36 sq cm
  30. 45 sq cm
  31. 3 cm
  32. 6 cm
  33. 196 sq cm
  34. 22 sq cm
  35. 100 sq cm
  36. 9 cm
  37. 60 sq cm
  38. 6 cm
  39. 136 sq cm
  40. 144 sq cm

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