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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 562 · 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 12 cm wide. What is its perimeter? (a) 44 cm (b) 56 cm (c) 192 cm (d) 28 cm
  2. 2.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 56 cm (c) 32 cm (d) 36 cm
  3. 3.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 154 cm (c) 13 cm (d) 12 cm
  4. 4.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 63 cm (c) 32 cm (d) 16 cm
  5. 5.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 60 cm
  6. 6.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 56 sq cm (b) 187 sq cm (c) 204 sq cm (d) 28 sq cm
  7. 7.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 15 cm (c) 30 cm (d) 54 cm
  8. 8.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 38 sq cm (d) 57 sq cm
  9. 9.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 34 cm (d) 36 cm
  10. 10.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  11. 11.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 126 sq cm (b) 48 sq cm (c) 24 sq cm (d) 108 sq cm
  12. 12.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  13. 13.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 3 cm (c) 30 cm (d) 4 cm
  14. 14.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  15. 15.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 104 sq cm (b) 91 sq cm (c) 40 sq cm (d) 20 sq cm
  16. 16.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 33 cm (c) 19 cm (d) 38 cm
  17. 17.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  18. 18.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 45 cm (c) 8 cm (d) 5 cm
  19. 19.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
  20. 20.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 56 sq cm (c) 34 sq cm (d) 17 sq cm
  21. 21.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 48 cm (b) 8 cm (c) 5 cm (d) 4 cm
  22. 22.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 22 cm (c) 11 cm (d) 12 cm
  23. 23.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 153 cm
  24. 24.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 40 sq cm (d) 30 sq cm
  25. 25.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 143 cm (c) 48 cm (d) 37 cm
  26. 26.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 24 sq cm (d) 35 sq cm
  27. 27.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 36 cm (c) 5 cm (d) 10 cm
  28. 28.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 42 cm
  29. 29.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 18 cm (d) 16 cm
  30. 30.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 80 cm (c) 12 cm (d) 7 cm
  31. 31.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
  32. 32.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 32 sq cm (d) 24 sq cm
  33. 33.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 65 cm (b) 6 cm (c) 7 cm (d) 12 cm
  34. 34.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 9 cm (c) 18 cm (d) 14 cm
  35. 35.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 21 cm (c) 42 cm (d) 104 cm
  36. 36.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 100 sq cm (c) 80 sq cm (d) 48 sq cm
  37. 37.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 56 sq cm (c) 30 sq cm (d) 15 sq cm
  38. 38.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 152 sq cm (d) 133 sq cm
  39. 39.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 6 cm (c) 14 cm (d) 4 cm
  40. 40.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm

Answer key

  1. 56 cm
  2. 36 cm
  3. 12 cm
  4. 32 cm
  5. 4 cm
  6. 187 sq cm
  7. 30 cm
  8. 38 sq cm
  9. 38 cm
  10. 49 sq cm
  11. 108 sq cm
  12. 225 sq cm
  13. 3 cm
  14. 25 sq cm
  15. 91 sq cm
  16. 38 cm
  17. 36 sq cm
  18. 4 cm
  19. 121 sq cm
  20. 42 sq cm
  21. 4 cm
  22. 11 cm
  23. 10 cm
  24. 30 sq cm
  25. 48 cm
  26. 35 sq cm
  27. 5 cm
  28. 4 cm
  29. 20 cm
  30. 6 cm
  31. 81 sq cm
  32. 24 sq cm
  33. 6 cm
  34. 18 cm
  35. 42 cm
  36. 80 sq cm
  37. 56 sq cm
  38. 133 sq cm
  39. 3 cm
  40. 196 sq cm

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