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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 170 · 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 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  2. 2.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 45 cm (c) 28 cm (d) 23 cm
  3. 3.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 95 cm (b) 6 cm (c) 12 cm (d) 7 cm
  4. 4.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 200 cm
  5. 5.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
  6. 6.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 19 sq cm (c) 38 sq cm (d) 100 sq cm
  7. 7.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  8. 8.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 10 cm (c) 2 cm (d) 4 cm
  9. 9.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 34 cm (c) 3 cm (d) 4 cm
  10. 10.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 26 cm (c) 24 cm (d) 14 cm
  11. 11.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
  12. 12.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 256 sq cm (d) 30 sq cm
  13. 13.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 135 cm
  14. 14.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
  15. 15.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 30 cm (c) 15 cm (d) 23 cm
  16. 16.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
  17. 17.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 24 cm (c) 13 cm (d) 12 cm
  18. 18.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 22 cm (c) 12 cm (d) 11 cm
  19. 19.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 35 cm (c) 75 cm (d) 20 cm
  20. 20.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 27 sq cm (d) 12 sq cm
  21. 21.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
  22. 22.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 120 sq cm (b) 44 sq cm (c) 22 sq cm (d) 132 sq cm
  23. 23.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 14 cm (c) 48 cm (d) 28 cm
  24. 24.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 7 cm (c) 12 cm (d) 6 cm
  25. 25.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 41 cm (c) 48 cm (d) 119 cm
  26. 26.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 27 sq cm (c) 54 sq cm (d) 170 sq cm
  27. 27.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 3 cm (c) 6 cm (d) 4 cm
  28. 28.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 34 sq cm (d) 51 sq cm
  29. 29.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 56 cm (c) 28 cm (d) 160 cm
  30. 30.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 66 cm (c) 14 cm (d) 8 cm
  31. 31.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 62 sq cm (c) 31 sq cm (d) 228 sq cm
  32. 32.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 10 cm (c) 144 cm (d) 20 cm
  33. 33.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 198 cm
  34. 34.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 54 cm (b) 21 cm (c) 42 cm (d) 39 cm
  35. 35.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
  36. 36.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 12 sq cm (c) 30 sq cm (d) 24 sq cm
  37. 37.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  38. 38.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 25 cm (c) 45 cm (d) 50 cm
  39. 39.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 65 cm (b) 6 cm (c) 7 cm (d) 12 cm
  40. 40.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 16 cm (c) 98 cm (d) 8 cm

Answer key

  1. 128 sq cm
  2. 28 cm
  3. 6 cm
  4. 11 cm
  5. 81 sq cm
  6. 90 sq cm
  7. 49 sq cm
  8. 2 cm
  9. 3 cm
  10. 28 cm
  11. 196 sq cm
  12. 225 sq cm
  13. 10 cm
  14. 121 sq cm
  15. 30 cm
  16. 6 cm
  17. 12 cm
  18. 11 cm
  19. 40 cm
  20. 27 sq cm
  21. 24 sq cm
  22. 120 sq cm
  23. 28 cm
  24. 6 cm
  25. 48 cm
  26. 170 sq cm
  27. 3 cm
  28. 34 sq cm
  29. 56 cm
  30. 7 cm
  31. 228 sq cm
  32. 10 cm
  33. 12 cm
  34. 42 cm
  35. 100 sq cm
  36. 20 sq cm
  37. 64 sq cm
  38. 50 cm
  39. 6 cm
  40. 8 cm

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