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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 403 · 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 18 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 12 cm (c) 4 cm (d) 6 cm
  2. 2.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
  3. 3.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 225 sq cm (d) 56 sq cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  5. 5.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 120 cm (c) 12 cm (d) 11 cm
  6. 6.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 195 sq cm (d) 180 sq cm
  7. 7.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  8. 8.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 39 cm (b) 5 cm (c) 8 cm (d) 4 cm
  9. 9.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
  10. 10.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 17 cm (c) 10 cm (d) 21 cm
  11. 11.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 20 cm (d) 10 cm
  12. 12.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 1 cm (b) 2 cm (c) 3 cm (d) 4 cm
  13. 13.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 48 cm (c) 14 cm (d) 7 cm
  14. 14.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 60 cm (c) 7 cm (d) 14 cm
  15. 15.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 40 cm (c) 42 cm (d) 44 cm
  16. 16.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 72 cm (c) 36 cm (d) 18 cm
  17. 17.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 24 cm (c) 3 cm (d) 4 cm
  18. 18.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 160 cm (c) 12 cm (d) 11 cm
  19. 19.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 25 cm (c) 14 cm (d) 28 cm
  20. 20.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
  21. 21.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 40 sq cm (c) 28 sq cm (d) 50 sq cm
  22. 22.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 42 cm
  23. 23.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
  24. 24.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 30 sq cm (c) 22 sq cm (d) 36 sq cm
  25. 25.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 64 cm (c) 40 cm (d) 20 cm
  26. 26.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 135 cm (c) 10 cm (d) 11 cm
  27. 27.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  28. 28.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 66 sq cm (b) 17 sq cm (c) 34 sq cm (d) 77 sq cm
  29. 29.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 20 cm
  30. 30.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 3 cm (c) 10 cm (d) 4 cm
  31. 31.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 28 cm (c) 5 cm (d) 6 cm
  32. 32.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 110 sq cm (b) 21 sq cm (c) 42 sq cm (d) 121 sq cm
  33. 33.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
  34. 34.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 42 sq cm (c) 34 sq cm (d) 56 sq cm
  35. 35.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
  36. 36.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 24 cm (b) 40 cm (c) 48 cm (d) 128 cm
  37. 37.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 7 cm (c) 6 cm (d) 12 cm
  38. 38.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 15 cm (c) 30 cm (d) 56 cm
  39. 39.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 32 sq cm (c) 24 sq cm (d) 40 sq cm
  40. 40.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 16 cm (b) 60 cm (c) 26 cm (d) 32 cm

Answer key

  1. 3 cm
  2. 54 cm
  3. 196 sq cm
  4. 36 sq cm
  5. 11 cm
  6. 180 sq cm
  7. 144 sq cm
  8. 4 cm
  9. 225 sq cm
  10. 20 cm
  11. 20 cm
  12. 2 cm
  13. 7 cm
  14. 7 cm
  15. 44 cm
  16. 36 cm
  17. 3 cm
  18. 11 cm
  19. 28 cm
  20. 7 cm
  21. 40 sq cm
  22. 4 cm
  23. 121 sq cm
  24. 30 sq cm
  25. 40 cm
  26. 10 cm
  27. 49 sq cm
  28. 66 sq cm
  29. 2 cm
  30. 3 cm
  31. 5 cm
  32. 110 sq cm
  33. 81 sq cm
  34. 42 sq cm
  35. 25 sq cm
  36. 48 cm
  37. 6 cm
  38. 30 cm
  39. 32 sq cm
  40. 32 cm

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