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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 320 · 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 is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 32 cm (d) 20 cm
  2. 2.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 21 cm (c) 5 cm (d) 4 cm
  3. 3.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 36 cm (c) 20 cm (d) 40 cm
  4. 4.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 11 sq cm (d) 30 sq cm
  5. 5.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 34 cm (c) 52 cm (d) 17 cm
  6. 6.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 23 cm (c) 120 cm (d) 46 cm
  7. 7.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 70 cm (b) 27 cm (c) 34 cm (d) 17 cm
  8. 8.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 4 cm (c) 2 cm (d) 3 cm
  9. 9.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 19 sq cm (c) 18 sq cm (d) 24 sq cm
  10. 10.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 42 cm
  11. 11.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 18 cm (d) 11 cm
  12. 12.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
  13. 13.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 4 cm (c) 3 cm (d) 2 cm
  14. 14.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
  15. 15.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
  16. 16.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 72 cm (c) 6 cm (d) 10 cm
  17. 17.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 14 sq cm (d) 21 sq cm
  18. 18.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 11 cm (d) 24 cm
  19. 19.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 9 cm (c) 10 cm (d) 18 cm
  20. 20.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 35 cm (b) 42 cm (c) 98 cm (d) 21 cm
  21. 21.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 42 sq cm (c) 21 sq cm (d) 117 sq cm
  22. 22.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 12 cm (c) 165 cm (d) 13 cm
  23. 23.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 20 sq cm (c) 10 sq cm (d) 24 sq cm
  24. 24.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 108 sq cm (c) 40 sq cm (d) 96 sq cm
  25. 25.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 153 cm (b) 52 cm (c) 26 cm (d) 43 cm
  26. 26.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  27. 27.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 35 sq cm (d) 42 sq cm
  28. 28.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 130 cm
  29. 29.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 32 cm (d) 56 cm
  30. 30.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 6 cm (c) 35 cm (d) 12 cm
  31. 31.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 sq cm
  32. 32.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  33. 33.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
  34. 34.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 60 sq cm (c) 36 sq cm (d) 45 sq cm
  35. 35.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 55 cm (b) 7 cm (c) 6 cm (d) 12 cm
  36. 36.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 6 cm (c) 14 cm (d) 3 cm
  37. 37.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
  38. 38.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 58 cm (b) 46 cm (c) 204 cm (d) 29 cm
  39. 39.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 22 cm (d) 20 cm
  40. 40.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 72 sq cm (c) 18 sq cm (d) 36 sq cm

Answer key

  1. 24 cm
  2. 4 cm
  3. 40 cm
  4. 30 sq cm
  5. 34 cm
  6. 46 cm
  7. 34 cm
  8. 2 cm
  9. 18 sq cm
  10. 4 cm
  11. 22 cm
  12. 81 sq cm
  13. 2 cm
  14. 100 sq cm
  15. 36 sq cm
  16. 5 cm
  17. 14 sq cm
  18. 22 cm
  19. 9 cm
  20. 42 cm
  21. 104 sq cm
  22. 12 cm
  23. 16 sq cm
  24. 96 sq cm
  25. 52 cm
  26. 25 sq cm
  27. 35 sq cm
  28. 11 cm
  29. 36 cm
  30. 6 cm
  31. 64 sq cm
  32. 49 sq cm
  33. 144 sq cm
  34. 45 sq cm
  35. 6 cm
  36. 3 cm
  37. 225 sq cm
  38. 58 cm
  39. 24 cm
  40. 72 sq cm

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