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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 332 · 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 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 11 cm (c) 22 cm (d) 12 cm
  2. 2.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 26 cm (d) 24 cm
  3. 3.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 24 sq cm (d) 169 sq cm
  4. 4.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
  5. 5.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 45 sq cm (b) 17 sq cm (c) 34 sq cm (d) 30 sq cm
  6. 6.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 160 cm (d) 56 cm
  7. 7.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 18 cm (d) 16 cm
  8. 8.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 48 sq cm (c) 30 sq cm (d) 15 sq cm
  9. 9.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
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
  11. 11.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 35 sq cm (c) 28 sq cm (d) 11 sq cm
  12. 12.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 38 cm (d) 156 cm
  13. 13.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 13 cm (c) 26 cm (d) 42 cm
  14. 14.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 65 cm (d) 31 cm
  15. 15.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 28 cm (d) 80 cm
  16. 16.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 12 cm
  17. 17.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  18. 18.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 25 cm (c) 50 cm (d) 39 cm
  19. 19.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 60 sq cm (c) 70 sq cm (d) 16 sq cm
  20. 20.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 126 cm (c) 11 cm (d) 20 cm
  21. 21.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 8 cm (b) 18 cm (c) 4 cm (d) 5 cm
  22. 22.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 4 cm (c) 11 cm (d) 2 cm
  23. 23.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 30 sq cm (c) 60 sq cm (d) 15 sq cm
  24. 24.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 72 cm
  25. 25.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 22 sq cm (d) 24 sq cm
  26. 26.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 198 sq cm (c) 58 sq cm (d) 29 sq cm
  27. 27.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
  28. 28.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 36 cm (d) 26 cm
  29. 29.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 35 cm (c) 19 cm (d) 24 cm
  30. 30.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 34 cm (c) 66 cm (d) 17 cm
  31. 31.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 54 sq cm (b) 160 sq cm (c) 27 sq cm (d) 140 sq cm
  32. 32.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
  33. 33.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 14 cm (c) 7 cm (d) 8 cm
  34. 34.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 42 cm (d) 136 cm
  35. 35.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 80 sq cm (d) 100 sq cm
  36. 36.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 78 sq cm (c) 65 sq cm (d) 18 sq cm
  37. 37.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 36 sq cm (c) 45 sq cm (d) 18 sq cm
  38. 38.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 12 cm (d) 24 cm
  39. 39.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 4 cm (c) 14 cm (d) 3 cm
  40. 40.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 26 cm (c) 3 cm (d) 4 cm

Answer key

  1. 11 cm
  2. 28 cm
  3. 144 sq cm
  4. 20 cm
  5. 30 sq cm
  6. 56 cm
  7. 18 cm
  8. 36 sq cm
  9. 100 sq cm
  10. 81 sq cm
  11. 28 sq cm
  12. 50 cm
  13. 26 cm
  14. 36 cm
  15. 36 cm
  16. 3 cm
  17. 36 sq cm
  18. 50 cm
  19. 60 sq cm
  20. 10 cm
  21. 4 cm
  22. 2 cm
  23. 50 sq cm
  24. 5 cm
  25. 24 sq cm
  26. 198 sq cm
  27. 121 sq cm
  28. 26 cm
  29. 24 cm
  30. 34 cm
  31. 140 sq cm
  32. 49 sq cm
  33. 7 cm
  34. 50 cm
  35. 80 sq cm
  36. 65 sq cm
  37. 45 sq cm
  38. 24 cm
  39. 3 cm
  40. 3 cm

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