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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 871 · 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 18 cm long and 4 cm wide. What is its perimeter? (a) 72 cm (b) 22 cm (c) 40 cm (d) 44 cm
  2. 2.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 6 cm (c) 68 cm (d) 10 cm
  3. 3.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 21 cm (c) 10 cm (d) 17 cm
  4. 4.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 36 sq cm (d) 30 sq cm
  5. 5.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 56 sq cm (b) 192 sq cm (c) 28 sq cm (d) 208 sq cm
  6. 6.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 14 cm (c) 45 cm (d) 28 cm
  7. 7.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 16 cm (d) 18 cm
  8. 8.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
  9. 9.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 30 cm
  10. 10.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 187 cm (b) 56 cm (c) 28 cm (d) 45 cm
  11. 11.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 30 sq cm (d) 24 sq cm
  12. 12.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 38 cm (c) 42 cm (d) 21 cm
  13. 13.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 70 cm
  14. 14.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 14 sq cm (c) 28 sq cm (d) 50 sq cm
  15. 15.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  16. 16.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 56 cm (c) 32 cm (d) 18 cm
  17. 17.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 14 cm (c) 28 cm (d) 26 cm
  18. 18.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 22 sq cm (c) 11 sq cm (d) 28 sq cm
  19. 19.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 64 sq cm (b) 40 sq cm (c) 20 sq cm (d) 80 sq cm
  20. 20.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
  21. 21.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 117 sq cm (c) 21 sq cm (d) 104 sq cm
  22. 22.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  23. 23.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 12 sq cm (c) 24 sq cm (d) 30 sq cm
  24. 24.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 160 sq cm (d) 140 sq cm
  25. 25.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  26. 26.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 42 sq cm (d) 49 sq cm
  27. 27.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 13 cm (c) 12 cm (d) 24 cm
  28. 28.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 3 cm (c) 9 cm (d) 4 cm
  29. 29.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 12 cm (c) 180 cm (d) 11 cm
  30. 30.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 77 sq cm (d) 88 sq cm
  31. 31.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 8 cm (c) 48 cm (d) 14 cm
  32. 32.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 24 sq cm (c) 42 sq cm (d) 12 sq cm
  33. 33.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 108 cm (c) 11 cm (d) 10 cm
  34. 34.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 24 cm
  35. 35.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  36. 36.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 27 sq cm (c) 54 sq cm (d) 176 sq cm
  37. 37.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 112 cm (c) 18 cm (d) 10 cm
  38. 38.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 18 cm (d) 28 cm
  39. 39.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 22 cm (d) 12 cm
  40. 40.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 24 cm

Answer key

  1. 44 cm
  2. 5 cm
  3. 20 cm
  4. 30 sq cm
  5. 192 sq cm
  6. 28 cm
  7. 18 cm
  8. 3 cm
  9. 4 cm
  10. 56 cm
  11. 24 sq cm
  12. 42 cm
  13. 6 cm
  14. 40 sq cm
  15. 49 sq cm
  16. 36 cm
  17. 28 cm
  18. 28 sq cm
  19. 64 sq cm
  20. 100 sq cm
  21. 104 sq cm
  22. 64 sq cm
  23. 20 sq cm
  24. 140 sq cm
  25. 144 sq cm
  26. 42 sq cm
  27. 12 cm
  28. 2 cm
  29. 11 cm
  30. 77 sq cm
  31. 7 cm
  32. 35 sq cm
  33. 10 cm
  34. 20 cm
  35. 225 sq cm
  36. 176 sq cm
  37. 9 cm
  38. 22 cm
  39. 24 cm
  40. 3 cm

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