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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 208 · 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 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 45 sq cm (d) 36 sq cm
  2. 2.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 84 cm (c) 9 cm (d) 16 cm
  3. 3.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 26 cm (c) 34 cm (d) 17 cm
  4. 4.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 12 cm (d) 24 cm
  5. 5.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 19 cm (c) 90 cm (d) 38 cm
  6. 6.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 50 sq cm (c) 30 sq cm (d) 15 sq cm
  7. 7.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 32 cm (b) 63 cm (c) 25 cm (d) 16 cm
  8. 8.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 12 sq cm (d) 42 sq cm
  9. 9.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 209 cm (c) 13 cm (d) 12 cm
  10. 10.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 48 sq cm (b) 156 sq cm (c) 24 sq cm (d) 143 sq cm
  11. 11.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 24 cm (c) 14 cm (d) 28 cm
  12. 12.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 16 sq cm
  13. 13.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 46 cm (b) 37 cm (c) 23 cm (d) 126 cm
  14. 14.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  15. 15.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 162 sq cm (d) 180 sq cm
  16. 16.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 19 sq cm (c) 38 sq cm (d) 60 sq cm
  17. 17.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
  18. 18.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 7 cm (c) 114 cm (d) 8 cm
  19. 19.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  20. 20.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 20 cm (d) 16 cm
  21. 21.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 8 cm (c) 30 cm (d) 4 cm
  22. 22.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 44 cm (c) 6 cm (d) 5 cm
  23. 23.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 90 sq cm (c) 80 sq cm (d) 18 sq cm
  24. 24.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
  25. 25.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 51 cm (b) 40 cm (c) 37 cm (d) 20 cm
  26. 26.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 44 cm (c) 22 cm (d) 42 cm
  27. 27.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 234 sq cm (b) 216 sq cm (c) 30 sq cm (d) 60 sq cm
  28. 28.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
  29. 29.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 9 cm (c) 8 cm (d) 16 cm
  30. 30.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  31. 31.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 22 cm (c) 11 cm (d) 12 cm
  32. 32.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 36 sq cm (d) 18 sq cm
  33. 33.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 16 sq cm (d) 18 sq cm
  34. 34.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 26 cm (c) 13 cm (d) 40 cm
  35. 35.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 28 cm (c) 34 cm (d) 66 cm
  36. 36.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 63 sq cm (b) 32 sq cm (c) 16 sq cm (d) 72 sq cm
  37. 37.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 28 sq cm (c) 54 sq cm (d) 14 sq cm
  38. 38.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
  39. 39.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  40. 40.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 36 cm (d) 90 cm

Answer key

  1. 36 sq cm
  2. 8 cm
  3. 34 cm
  4. 24 cm
  5. 38 cm
  6. 50 sq cm
  7. 32 cm
  8. 35 sq cm
  9. 12 cm
  10. 143 sq cm
  11. 28 cm
  12. 16 sq cm
  13. 46 cm
  14. 36 sq cm
  15. 162 sq cm
  16. 60 sq cm
  17. 4 cm
  18. 7 cm
  19. 225 sq cm
  20. 20 cm
  21. 4 cm
  22. 5 cm
  23. 80 sq cm
  24. 120 sq cm
  25. 40 cm
  26. 44 cm
  27. 216 sq cm
  28. 169 sq cm
  29. 8 cm
  30. 25 sq cm
  31. 11 cm
  32. 81 sq cm
  33. 12 sq cm
  34. 26 cm
  35. 34 cm
  36. 63 sq cm
  37. 45 sq cm
  38. 196 sq cm
  39. 100 sq cm
  40. 42 cm

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