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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 155 · 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 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 24 cm (c) 40 cm (d) 48 cm
  2. 2.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 3 cm (c) 6 cm (d) 4 cm
  3. 3.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
  4. 4.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 21 cm (c) 68 cm (d) 42 cm
  5. 5.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
  6. 6.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 47 cm (b) 58 cm (c) 198 cm (d) 29 cm
  7. 7.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 21 sq cm (c) 68 sq cm (d) 42 sq cm
  8. 8.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 81 sq cm (d) 16 sq cm
  9. 9.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 10 sq cm (d) 24 sq cm
  10. 10.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 22 cm (c) 140 cm (d) 12 cm
  11. 11.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 26 cm (c) 28 cm (d) 24 cm
  12. 12.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 18 cm
  13. 13.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 19 sq cm (c) 70 sq cm (d) 38 sq cm
  14. 14.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 171 cm
  15. 15.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 16 cm (c) 30 cm (d) 32 cm
  16. 16.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
  17. 17.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 3 cm (c) 26 cm (d) 6 cm
  18. 18.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 14 sq cm (c) 33 sq cm (d) 28 sq cm
  19. 19.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 10 sq cm (d) 21 sq cm
  20. 20.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 108 cm (d) 33 cm
  21. 21.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 32 cm (d) 16 cm
  22. 22.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
  23. 23.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 90 sq cm (d) 75 sq cm
  24. 24.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 56 cm (c) 15 cm (d) 30 cm
  25. 25.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 25 sq cm (b) 114 sq cm (c) 133 sq cm (d) 50 sq cm
  26. 26.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 10 cm (d) 16 cm
  27. 27.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 51 sq cm (c) 68 sq cm (d) 40 sq cm
  28. 28.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 63 sq cm (d) 54 sq cm
  29. 29.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 170 sq cm (b) 153 sq cm (c) 26 sq cm (d) 52 sq cm
  30. 30.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
  31. 31.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 48 sq cm (d) 169 sq cm
  32. 32.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 60 cm (c) 30 cm (d) 48 cm
  33. 33.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 88 cm
  34. 34.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 30 cm (c) 15 cm (d) 50 cm
  35. 35.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 3 cm (c) 2 cm (d) 4 cm
  36. 36.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 36 sq cm (c) 26 sq cm (d) 45 sq cm
  37. 37.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 32 cm (c) 36 cm (d) 34 cm
  38. 38.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 56 sq cm (c) 14 sq cm (d) 28 sq cm
  39. 39.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 2 cm (b) 13 cm (c) 4 cm (d) 3 cm
  40. 40.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 132 sq cm (d) 120 sq cm

Answer key

  1. 48 cm
  2. 3 cm
  3. 36 sq cm
  4. 42 cm
  5. 49 sq cm
  6. 58 cm
  7. 68 sq cm
  8. 64 sq cm
  9. 24 sq cm
  10. 11 cm
  11. 28 cm
  12. 4 cm
  13. 70 sq cm
  14. 10 cm
  15. 32 cm
  16. 81 sq cm
  17. 3 cm
  18. 33 sq cm
  19. 21 sq cm
  20. 42 cm
  21. 32 cm
  22. 25 sq cm
  23. 75 sq cm
  24. 30 cm
  25. 114 sq cm
  26. 20 cm
  27. 51 sq cm
  28. 54 sq cm
  29. 153 sq cm
  30. 100 sq cm
  31. 144 sq cm
  32. 60 cm
  33. 9 cm
  34. 30 cm
  35. 2 cm
  36. 36 sq cm
  37. 36 cm
  38. 48 sq cm
  39. 2 cm
  40. 120 sq cm

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