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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 319 · 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 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 154 sq cm (c) 24 sq cm (d) 140 sq cm
  2. 2.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 51 cm (c) 62 cm (d) 220 cm
  3. 3.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 80 sq cm (c) 90 sq cm (d) 18 sq cm
  4. 4.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 38 cm (c) 40 cm (d) 36 cm
  5. 5.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 57 sq cm (d) 38 sq cm
  6. 6.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 23 cm (c) 26 cm (d) 30 cm
  7. 7.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 42 sq cm (d) 13 sq cm
  8. 8.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 48 cm
  9. 9.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 176 sq cm (b) 192 sq cm (c) 54 sq cm (d) 27 sq cm
  10. 10.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 38 cm (b) 6 cm (c) 4 cm (d) 3 cm
  11. 11.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
  12. 12.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 34 cm (c) 72 cm (d) 17 cm
  13. 13.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 20 cm (c) 13 cm (d) 42 cm
  14. 14.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 21 sq cm (c) 117 sq cm (d) 42 sq cm
  15. 15.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 152 sq cm (c) 133 sq cm (d) 26 sq cm
  16. 16.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 10 sq cm (d) 25 sq cm
  17. 17.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 12 cm (c) 7 cm (d) 6 cm
  18. 18.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  19. 19.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 81 sq cm (d) 16 sq cm
  20. 20.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 9 cm (c) 140 cm (d) 16 cm
  21. 21.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 114 sq cm (b) 25 sq cm (c) 133 sq cm (d) 50 sq cm
  22. 22.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 75 cm (b) 20 cm (c) 40 cm (d) 35 cm
  23. 23.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  24. 24.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 19 sq cm (d) 9 sq cm
  25. 25.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 13 cm (c) 154 cm (d) 24 cm
  26. 26.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 36 cm (d) 80 cm
  27. 27.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 36 cm (c) 13 cm (d) 26 cm
  28. 28.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  29. 29.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 28 sq cm (c) 160 sq cm (d) 56 sq cm
  30. 30.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 12 cm
  31. 31.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  32. 32.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 121 sq cm (d) 40 sq cm
  33. 33.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 7 cm
  34. 34.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 30 cm (b) 23 cm (c) 56 cm (d) 15 cm
  35. 35.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 30 sq cm (c) 15 sq cm (d) 64 sq cm
  36. 36.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 13 cm (c) 12 cm (d) 24 cm
  37. 37.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 12 cm (c) 13 cm (d) 24 cm
  38. 38.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 38 sq cm (c) 19 sq cm (d) 88 sq cm
  39. 39.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 216 sq cm (d) 234 sq cm
  40. 40.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 14 cm (c) 8 cm (d) 7 cm

Answer key

  1. 140 sq cm
  2. 62 cm
  3. 80 sq cm
  4. 40 cm
  5. 38 sq cm
  6. 26 cm
  7. 42 sq cm
  8. 7 cm
  9. 176 sq cm
  10. 3 cm
  11. 81 sq cm
  12. 34 cm
  13. 26 cm
  14. 104 sq cm
  15. 133 sq cm
  16. 25 sq cm
  17. 6 cm
  18. 225 sq cm
  19. 64 sq cm
  20. 8 cm
  21. 114 sq cm
  22. 40 cm
  23. 196 sq cm
  24. 18 sq cm
  25. 12 cm
  26. 36 cm
  27. 26 cm
  28. 121 sq cm
  29. 160 sq cm
  30. 3 cm
  31. 49 sq cm
  32. 100 sq cm
  33. 2 cm
  34. 30 cm
  35. 56 sq cm
  36. 12 cm
  37. 12 cm
  38. 88 sq cm
  39. 216 sq cm
  40. 7 cm

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