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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 803 · 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 160 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 140 cm
  2. 2.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 80 cm (b) 21 cm (c) 37 cm (d) 42 cm
  3. 3.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 35 cm (b) 48 cm (c) 38 cm (d) 19 cm
  4. 4.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 17 sq cm (c) 52 sq cm (d) 34 sq cm
  5. 5.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 36 cm (c) 72 cm (d) 18 cm
  6. 6.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 5 cm (c) 8 cm (d) 4 cm
  7. 7.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 45 cm (c) 12 cm (d) 6 cm
  8. 8.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 104 cm (c) 9 cm (d) 18 cm
  9. 9.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 27 sq cm (c) 54 sq cm (d) 162 sq cm
  10. 10.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 85 sq cm (c) 68 sq cm (d) 42 sq cm
  11. 11.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 100 sq cm (d) 18 sq cm
  12. 12.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 128 sq cm (d) 112 sq cm
  13. 13.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 16 cm (c) 32 cm (d) 60 cm
  14. 14.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 8 cm (c) 27 cm (d) 4 cm
  15. 15.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
  16. 16.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 36 cm (d) 22 cm
  17. 17.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 3 cm (c) 2 cm (d) 4 cm
  18. 18.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 117 cm (c) 10 cm (d) 11 cm
  19. 19.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
  20. 20.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) 6 cm (d) 90 cm
  21. 21.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 108 cm (b) 21 cm (c) 42 cm (d) 33 cm
  22. 22.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 57 sq cm (c) 44 sq cm (d) 76 sq cm
  23. 23.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 100 sq cm (d) 40 sq cm
  24. 24.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 14 cm (b) 4 cm (c) 6 cm (d) 3 cm
  25. 25.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 27 cm (c) 21 cm (d) 12 cm
  26. 26.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 11 sq cm (c) 22 sq cm (d) 24 sq cm
  27. 27.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 29 cm (d) 77 cm
  28. 28.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 19 cm (c) 35 cm (d) 24 cm
  29. 29.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 42 sq cm (c) 98 sq cm (d) 21 sq cm
  30. 30.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 11 cm
  31. 31.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 34 cm (c) 17 cm (d) 31 cm
  32. 32.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 104 cm (b) 34 cm (c) 21 cm (d) 42 cm
  33. 33.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 6 cm (c) 55 cm (d) 12 cm
  34. 34.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 55 sq cm (c) 15 sq cm (d) 44 sq cm
  35. 35.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  36. 36.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  37. 37.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 16 cm (c) 4 cm (d) 6 cm
  38. 38.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 14 sq cm (c) 18 sq cm (d) 21 sq cm
  39. 39.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 16 sq cm (c) 24 sq cm (d) 20 sq cm
  40. 40.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 11 sq cm (d) 22 sq cm

Answer key

  1. 8 cm
  2. 42 cm
  3. 38 cm
  4. 52 sq cm
  5. 36 cm
  6. 4 cm
  7. 6 cm
  8. 9 cm
  9. 162 sq cm
  10. 68 sq cm
  11. 81 sq cm
  12. 112 sq cm
  13. 32 cm
  14. 4 cm
  15. 169 sq cm
  16. 26 cm
  17. 2 cm
  18. 10 cm
  19. 49 sq cm
  20. 6 cm
  21. 42 cm
  22. 57 sq cm
  23. 100 sq cm
  24. 3 cm
  25. 24 cm
  26. 24 sq cm
  27. 36 cm
  28. 24 cm
  29. 98 sq cm
  30. 2 cm
  31. 34 cm
  32. 42 cm
  33. 6 cm
  34. 44 sq cm
  35. 225 sq cm
  36. 25 sq cm
  37. 3 cm
  38. 14 sq cm
  39. 16 sq cm
  40. 30 sq cm

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