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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 410 · 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 has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 8 cm (c) 3 cm (d) 2 cm
  2. 2.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 60 cm (d) 26 cm
  3. 3.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 40 cm
  4. 4.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 126 sq cm (b) 25 sq cm (c) 144 sq cm (d) 50 sq cm
  5. 5.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
  6. 6.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 180 sq cm (b) 54 sq cm (c) 27 sq cm (d) 195 sq cm
  7. 7.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 90 sq cm (b) 44 sq cm (c) 22 sq cm (d) 72 sq cm
  8. 8.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 99 sq cm (d) 88 sq cm
  9. 9.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 108 sq cm (c) 21 sq cm (d) 120 sq cm
  10. 10.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 15 cm (c) 50 cm (d) 30 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) 6 cm (c) 3 cm (d) 12 cm
  12. 12.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  13. 13.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 19 cm (c) 3 cm (d) 2 cm
  14. 14.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 133 cm
  15. 15.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 26 cm (c) 13 cm (d) 24 cm
  16. 16.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
  17. 17.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 76 sq cm (d) 95 sq cm
  18. 18.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
  19. 19.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 170 sq cm (b) 52 sq cm (c) 153 sq cm (d) 26 sq cm
  20. 20.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 88 cm (c) 10 cm (d) 9 cm
  21. 21.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 1 cm
  22. 22.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 14 sq cm (c) 28 sq cm (d) 54 sq cm
  23. 23.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 80 sq cm (c) 20 sq cm (d) 64 sq cm
  24. 24.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
  25. 25.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 64 cm (b) 5 cm (c) 10 cm (d) 6 cm
  26. 26.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 221 sq cm (b) 58 sq cm (c) 204 sq cm (d) 29 sq cm
  27. 27.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 18 cm (d) 20 cm
  28. 28.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 25 cm (b) 154 cm (c) 50 cm (d) 39 cm
  29. 29.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
  30. 30.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 55 cm (b) 27 cm (c) 16 cm (d) 32 cm
  31. 31.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 34 sq cm (c) 42 sq cm (d) 17 sq cm
  32. 32.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 32 cm (b) 21 cm (c) 42 cm (d) 110 cm
  33. 33.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 22 cm (d) 20 cm
  34. 34.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 32 cm
  35. 35.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 7 cm (c) 108 cm (d) 14 cm
  36. 36.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 90 cm (b) 41 cm (c) 23 cm (d) 46 cm
  37. 37.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 29 cm (b) 18 cm (c) 36 cm (d) 77 cm
  38. 38.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 48 sq cm (d) 64 sq cm
  39. 39.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  40. 40.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 33 cm (d) 25 cm

Answer key

  1. 2 cm
  2. 32 cm
  3. 6 cm
  4. 126 sq cm
  5. 30 sq cm
  6. 180 sq cm
  7. 72 sq cm
  8. 88 sq cm
  9. 108 sq cm
  10. 30 cm
  11. 3 cm
  12. 25 sq cm
  13. 2 cm
  14. 8 cm
  15. 26 cm
  16. 225 sq cm
  17. 76 sq cm
  18. 49 sq cm
  19. 153 sq cm
  20. 9 cm
  21. 2 cm
  22. 45 sq cm
  23. 64 sq cm
  24. 64 sq cm
  25. 5 cm
  26. 204 sq cm
  27. 20 cm
  28. 50 cm
  29. 192 sq cm
  30. 32 cm
  31. 42 sq cm
  32. 42 cm
  33. 22 cm
  34. 5 cm
  35. 7 cm
  36. 46 cm
  37. 36 cm
  38. 48 sq cm
  39. 36 sq cm
  40. 28 cm

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