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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 163 · 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 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 60 sq cm (c) 32 sq cm (d) 16 sq cm
  2. 2.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
  3. 3.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  4. 4.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 30 cm (b) 209 cm (c) 49 cm (d) 60 cm
  5. 5.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 208 sq cm (d) 192 sq cm
  6. 6.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 77 sq cm (b) 18 sq cm (c) 36 sq cm (d) 88 sq cm
  7. 7.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 50 sq cm (d) 15 sq cm
  8. 8.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 112 cm (b) 22 cm (c) 36 cm (d) 44 cm
  9. 9.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
  10. 10.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 28 cm (c) 32 cm (d) 48 cm
  11. 11.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 30 cm (c) 4 cm (d) 8 cm
  12. 12.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 17 cm (d) 21 cm
  13. 13.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 6 cm (c) 4 cm (d) 3 cm
  14. 14.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  15. 15.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 16 sq cm (c) 20 sq cm (d) 10 sq cm
  16. 16.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
  17. 17.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
  18. 18.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
  19. 19.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 48 sq cm (b) 36 sq cm (c) 18 sq cm (d) 32 sq cm
  20. 20.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 88 cm (c) 30 cm (d) 19 cm
  21. 21.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 34 sq cm (c) 70 sq cm (d) 17 sq cm
  22. 22.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 7 cm (c) 12 cm (d) 6 cm
  23. 23.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
  24. 24.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 165 sq cm (c) 180 sq cm (d) 26 sq cm
  25. 25.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
  26. 26.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 13 cm
  27. 27.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 34 cm
  28. 28.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
  29. 29.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 44 sq cm (b) 105 sq cm (c) 120 sq cm (d) 22 sq cm
  30. 30.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 26 sq cm (c) 13 sq cm (d) 36 sq cm
  31. 31.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 8 cm (c) 9 cm (d) 16 cm
  32. 32.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 96 sq cm (d) 84 sq cm
  33. 33.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 120 cm (b) 46 cm (c) 52 cm (d) 26 cm
  34. 34.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 20 cm (d) 10 cm
  35. 35.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 108 sq cm (c) 46 sq cm (d) 23 sq cm
  36. 36.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 22 cm (c) 20 cm (d) 24 cm
  37. 37.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 22 cm (c) 12 cm (d) 11 cm
  38. 38.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 26 cm (c) 21 cm (d) 13 cm
  39. 39.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 60 cm (c) 30 cm (d) 48 cm
  40. 40.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 14 cm (b) 3 cm (c) 4 cm (d) 6 cm

Answer key

  1. 48 sq cm
  2. 144 sq cm
  3. 81 sq cm
  4. 60 cm
  5. 192 sq cm
  6. 77 sq cm
  7. 50 sq cm
  8. 44 cm
  9. 36 sq cm
  10. 32 cm
  11. 4 cm
  12. 20 cm
  13. 3 cm
  14. 196 sq cm
  15. 16 sq cm
  16. 169 sq cm
  17. 64 sq cm
  18. 121 sq cm
  19. 32 sq cm
  20. 38 cm
  21. 70 sq cm
  22. 6 cm
  23. 25 sq cm
  24. 165 sq cm
  25. 133 sq cm
  26. 2 cm
  27. 3 cm
  28. 100 sq cm
  29. 105 sq cm
  30. 36 sq cm
  31. 8 cm
  32. 84 sq cm
  33. 52 cm
  34. 20 cm
  35. 90 sq cm
  36. 24 cm
  37. 11 cm
  38. 26 cm
  39. 60 cm
  40. 3 cm

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