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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 762 · 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 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 52 cm (d) 30 cm
  2. 2.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 12 cm (c) 35 cm (d) 24 cm
  3. 3.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 80 sq cm (c) 40 sq cm (d) 64 sq cm
  4. 4.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
  5. 5.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 12 sq cm (c) 24 sq cm (d) 30 sq cm
  6. 6.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 16 sq cm
  7. 7.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
  8. 8.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
  9. 9.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
  10. 10.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 154 cm (c) 25 cm (d) 50 cm
  11. 11.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 12 cm (c) 6 cm (d) 3 cm
  12. 12.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 16 cm (c) 32 cm (d) 60 cm
  13. 13.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 27 sq cm (c) 18 sq cm (d) 22 sq cm
  14. 14.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 42 cm (d) 38 cm
  15. 15.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 22 cm (c) 11 cm (d) 12 cm
  16. 16.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
  17. 17.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 12 sq cm (d) 16 sq cm
  18. 18.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
  19. 19.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
  20. 20.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 70 sq cm (b) 38 sq cm (c) 19 sq cm (d) 84 sq cm
  21. 21.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 44 sq cm (c) 22 sq cm (d) 120 sq cm
  22. 22.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 15 cm (c) 30 cm (d) 27 cm
  23. 23.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 20 sq cm (d) 40 sq cm
  24. 24.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 133 cm (c) 8 cm (d) 16 cm
  25. 25.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 4 cm (c) 5 cm (d) 8 cm
  26. 26.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 50 sq cm (d) 40 sq cm
  27. 27.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 31 cm (b) 18 cm (c) 65 cm (d) 36 cm
  28. 28.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  29. 29.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 14 cm (b) 8 cm (c) 66 cm (d) 7 cm
  30. 30.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 156 sq cm (b) 24 sq cm (c) 48 sq cm (d) 143 sq cm
  31. 31.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 14 sq cm (c) 28 sq cm (d) 48 sq cm
  32. 32.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 85 cm (c) 44 cm (d) 22 cm
  33. 33.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 140 sq cm (d) 154 sq cm
  34. 34.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
  35. 35.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
  36. 36.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
  37. 37.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
  38. 38.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
  39. 39.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 240 sq cm (b) 32 sq cm (c) 260 sq cm (d) 64 sq cm
  40. 40.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 5 cm (c) 21 cm (d) 8 cm

Answer key

  1. 34 cm
  2. 24 cm
  3. 64 sq cm
  4. 81 sq cm
  5. 20 sq cm
  6. 16 sq cm
  7. 196 sq cm
  8. 49 sq cm
  9. 20 cm
  10. 50 cm
  11. 3 cm
  12. 32 cm
  13. 18 sq cm
  14. 42 cm
  15. 11 cm
  16. 64 sq cm
  17. 12 sq cm
  18. 144 sq cm
  19. 36 sq cm
  20. 70 sq cm
  21. 120 sq cm
  22. 30 cm
  23. 100 sq cm
  24. 8 cm
  25. 4 cm
  26. 40 sq cm
  27. 36 cm
  28. 25 sq cm
  29. 7 cm
  30. 143 sq cm
  31. 48 sq cm
  32. 44 cm
  33. 140 sq cm
  34. 169 sq cm
  35. 225 sq cm
  36. 24 sq cm
  37. 121 sq cm
  38. 30 sq cm
  39. 240 sq cm
  40. 4 cm

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