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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 867 · 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 144 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 126 cm
  2. 2.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  3. 3.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 4 cm (c) 3 cm (d) 6 cm
  4. 4.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 57 sq cm (b) 38 sq cm (c) 21 sq cm (d) 42 sq cm
  5. 5.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 169 sq cm (b) 50 sq cm (c) 25 sq cm (d) 156 sq cm
  6. 6.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 180 sq cm (b) 26 sq cm (c) 165 sq cm (d) 52 sq cm
  7. 7.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
  8. 8.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 36 cm (c) 38 cm (d) 40 cm
  9. 9.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 5 cm (c) 57 cm (d) 4 cm
  10. 10.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 49 cm (b) 30 cm (c) 209 cm (d) 60 cm
  11. 11.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 43 cm (d) 126 cm
  12. 12.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 133 sq cm (b) 26 sq cm (c) 152 sq cm (d) 52 sq cm
  13. 13.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
  14. 14.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
  15. 15.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 30 sq cm (d) 20 sq cm
  16. 16.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  17. 17.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 40 sq cm (c) 54 sq cm (d) 20 sq cm
  18. 18.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 70 sq cm (c) 80 sq cm (d) 17 sq cm
  19. 19.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 4 cm (c) 3 cm (d) 2 cm
  20. 20.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 24 cm (c) 209 cm (d) 12 cm
  21. 21.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 72 sq cm (d) 81 sq cm
  22. 22.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 26 cm (d) 72 cm
  23. 23.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 16 cm (d) 18 cm
  24. 24.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 20 cm
  25. 25.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 24 cm (c) 198 cm (d) 13 cm
  26. 26.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 10 cm (c) 11 cm (d) 20 cm
  27. 27.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 220 sq cm (c) 200 sq cm (d) 30 sq cm
  28. 28.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 12 cm (c) 11 cm (d) 22 cm
  29. 29.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 27 cm
  30. 30.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 80 cm (c) 18 cm (d) 9 cm
  31. 31.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 8 cm
  32. 32.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 56 sq cm (c) 15 sq cm (d) 64 sq cm
  33. 33.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 24 cm (c) 22 cm (d) 19 cm
  34. 34.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
  35. 35.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
  36. 36.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 21 sq cm (d) 10 sq cm
  37. 37.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
  38. 38.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 104 cm
  39. 39.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 11 sq cm (c) 32 sq cm (d) 22 sq cm
  40. 40.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 28 cm (d) 14 cm

Answer key

  1. 8 cm
  2. 25 sq cm
  3. 3 cm
  4. 38 sq cm
  5. 156 sq cm
  6. 165 sq cm
  7. 225 sq cm
  8. 40 cm
  9. 4 cm
  10. 60 cm
  11. 50 cm
  12. 133 sq cm
  13. 30 sq cm
  14. 36 sq cm
  15. 24 sq cm
  16. 81 sq cm
  17. 36 sq cm
  18. 70 sq cm
  19. 2 cm
  20. 12 cm
  21. 72 sq cm
  22. 34 cm
  23. 20 cm
  24. 2 cm
  25. 12 cm
  26. 10 cm
  27. 200 sq cm
  28. 11 cm
  29. 4 cm
  30. 9 cm
  31. 3 cm
  32. 56 sq cm
  33. 22 cm
  34. 100 sq cm
  35. 169 sq cm
  36. 21 sq cm
  37. 64 sq cm
  38. 9 cm
  39. 24 sq cm
  40. 28 cm

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