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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 110 · 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 square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  2. 2.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 45 cm (c) 4 cm (d) 5 cm
  3. 3.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 120 sq cm (c) 132 sq cm (d) 44 sq cm
  4. 4.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 19 sq cm (c) 60 sq cm (d) 38 sq cm
  5. 5.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 8 cm (c) 5 cm (d) 4 cm
  6. 6.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 198 cm
  7. 7.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 3 cm (c) 2 cm (d) 4 cm
  8. 8.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 26 sq cm (d) 169 sq cm
  9. 9.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 12 cm (d) 8 cm
  10. 10.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 14 sq cm (c) 28 sq cm (d) 56 sq cm
  11. 11.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 13 sq cm (c) 26 sq cm (d) 42 sq cm
  12. 12.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 10 cm (c) 80 cm (d) 9 cm
  13. 13.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 132 cm (b) 46 cm (c) 35 cm (d) 23 cm
  14. 14.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 11 sq cm (c) 36 sq cm (d) 22 sq cm
  15. 15.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  16. 16.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  17. 17.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 16 sq cm (c) 8 sq cm (d) 18 sq cm
  18. 18.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 119 sq cm (d) 136 sq cm
  19. 19.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 48 cm (b) 4 cm (c) 8 cm (d) 5 cm
  20. 20.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 48 sq cm (c) 32 sq cm (d) 18 sq cm
  21. 21.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 90 sq cm (d) 100 sq cm
  22. 22.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 11 cm (c) 24 cm (d) 22 cm
  23. 23.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 41 cm (d) 57 cm
  24. 24.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 13 cm (c) 187 cm (d) 12 cm
  25. 25.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 68 sq cm (d) 51 sq cm
  26. 26.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 45 cm (c) 23 cm (d) 28 cm
  27. 27.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 14 cm (b) 8 cm (c) 102 cm (d) 7 cm
  28. 28.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 14 cm (d) 16 cm
  29. 29.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
  30. 30.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  31. 31.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  32. 32.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
  33. 33.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 112 cm (c) 22 cm (d) 44 cm
  34. 34.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 12 cm (c) 24 cm (d) 13 cm
  35. 35.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  36. 36.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 40 sq cm (c) 98 sq cm (d) 20 sq cm
  37. 37.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 25 sq cm (b) 144 sq cm (c) 160 sq cm (d) 50 sq cm
  38. 38.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 76 cm (b) 6 cm (c) 10 cm (d) 5 cm
  39. 39.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 45 sq cm (c) 14 sq cm (d) 28 sq cm
  40. 40.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 55 sq cm (c) 44 sq cm (d) 15 sq cm

Answer key

  1. 121 sq cm
  2. 4 cm
  3. 120 sq cm
  4. 60 sq cm
  5. 4 cm
  6. 12 cm
  7. 2 cm
  8. 169 sq cm
  9. 16 cm
  10. 48 sq cm
  11. 42 sq cm
  12. 9 cm
  13. 46 cm
  14. 30 sq cm
  15. 128 sq cm
  16. 144 sq cm
  17. 12 sq cm
  18. 119 sq cm
  19. 4 cm
  20. 32 sq cm
  21. 90 sq cm
  22. 22 cm
  23. 44 cm
  24. 12 cm
  25. 51 sq cm
  26. 28 cm
  27. 7 cm
  28. 18 cm
  29. 50 cm
  30. 36 sq cm
  31. 25 sq cm
  32. 100 sq cm
  33. 44 cm
  34. 12 cm
  35. 196 sq cm
  36. 84 sq cm
  37. 144 sq cm
  38. 5 cm
  39. 45 sq cm
  40. 44 sq cm

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