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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 874 · 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 88 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 77 cm (c) 8 cm (d) 16 cm
  2. 2.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 80 cm (b) 6 cm (c) 5 cm (d) 10 cm
  3. 3.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 72 cm (c) 6 cm (d) 5 cm
  4. 4.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 21 cm (c) 17 cm (d) 20 cm
  5. 5.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 50 cm (c) 39 cm (d) 25 cm
  6. 6.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 38 cm (c) 21 cm (d) 68 cm
  7. 7.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 16 cm (c) 18 cm (d) 14 cm
  8. 8.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
  9. 9.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 46 cm (c) 36 cm (d) 23 cm
  10. 10.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
  11. 11.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 4 cm (c) 3 cm (d) 2 cm
  12. 12.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 8 cm
  13. 13.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 19 cm (c) 15 cm (d) 9 cm
  14. 14.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
  15. 15.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 30 cm (c) 17 cm (d) 11 cm
  16. 16.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 30 sq cm (c) 36 sq cm (d) 11 sq cm
  17. 17.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 96 sq cm (c) 20 sq cm (d) 108 sq cm
  18. 18.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 16 sq cm (d) 12 sq cm
  19. 19.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 209 sq cm (d) 228 sq cm
  20. 20.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 10 cm (c) 108 cm (d) 20 cm
  21. 21.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
  22. 22.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 32 cm (c) 21 cm (d) 110 cm
  23. 23.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 156 sq cm (b) 25 sq cm (c) 50 sq cm (d) 169 sq cm
  24. 24.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 12 cm (c) 120 cm (d) 11 cm
  25. 25.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
  26. 26.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
  27. 27.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 28 cm (b) 187 cm (c) 56 cm (d) 45 cm
  28. 28.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 24 sq cm (d) 11 sq cm
  29. 29.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 22 cm (c) 13 cm (d) 26 cm
  30. 30.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  31. 31.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 12 cm (c) 70 cm (d) 6 cm
  32. 32.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 216 sq cm (c) 30 sq cm (d) 234 sq cm
  33. 33.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  34. 34.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
  35. 35.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 4 cm (c) 33 cm (d) 5 cm
  36. 36.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 20 cm (d) 12 cm
  37. 37.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 14 cm (c) 72 cm (d) 7 cm
  38. 38.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 156 cm (c) 38 cm (d) 50 cm
  39. 39.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 24 sq cm (c) 18 sq cm (d) 9 sq cm
  40. 40.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 14 cm (c) 4 cm (d) 3 cm

Answer key

  1. 8 cm
  2. 5 cm
  3. 5 cm
  4. 20 cm
  5. 50 cm
  6. 42 cm
  7. 18 cm
  8. 121 sq cm
  9. 46 cm
  10. 144 sq cm
  11. 2 cm
  12. 3 cm
  13. 18 cm
  14. 100 sq cm
  15. 22 cm
  16. 30 sq cm
  17. 96 sq cm
  18. 12 sq cm
  19. 209 sq cm
  20. 10 cm
  21. 36 sq cm
  22. 42 cm
  23. 156 sq cm
  24. 11 cm
  25. 81 sq cm
  26. 25 sq cm
  27. 56 cm
  28. 24 sq cm
  29. 26 cm
  30. 196 sq cm
  31. 6 cm
  32. 216 sq cm
  33. 169 sq cm
  34. 64 sq cm
  35. 4 cm
  36. 24 cm
  37. 7 cm
  38. 50 cm
  39. 18 sq cm
  40. 3 cm

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