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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 830 · 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 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 22 cm (c) 11 cm (d) 12 cm
  2. 2.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 5 cm (c) 40 cm (d) 10 cm
  3. 3.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 33 cm (c) 28 cm (d) 14 cm
  4. 4.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 48 sq cm (d) 13 sq cm
  5. 5.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 45 cm
  6. 6.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
  7. 7.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  8. 8.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 21 cm (b) 98 cm (c) 42 cm (d) 35 cm
  9. 9.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 88 cm (c) 30 cm (d) 19 cm
  10. 10.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 10 cm (b) 6 cm (c) 4 cm (d) 3 cm
  11. 11.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 119 cm
  12. 12.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 34 sq cm (c) 17 sq cm (d) 66 sq cm
  13. 13.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
  14. 14.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 62 sq cm (c) 220 sq cm (d) 31 sq cm
  15. 15.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 34 cm (c) 6 cm (d) 3 cm
  16. 16.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 36 cm (c) 15 cm (d) 27 cm
  17. 17.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 39 sq cm (c) 32 sq cm (d) 16 sq cm
  18. 18.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 33 sq cm (c) 13 sq cm (d) 22 sq cm
  19. 19.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 5 cm (c) 51 cm (d) 4 cm
  20. 20.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 99 sq cm (c) 19 sq cm (d) 88 sq cm
  21. 21.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 19 cm (d) 15 cm
  22. 22.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 76 cm (c) 23 cm (d) 46 cm
  23. 23.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 19 sq cm (c) 90 sq cm (d) 38 sq cm
  24. 24.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 21 cm (c) 10 cm (d) 20 cm
  25. 25.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 198 cm (c) 12 cm (d) 24 cm
  26. 26.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 126 sq cm (c) 46 sq cm (d) 23 sq cm
  27. 27.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  28. 28.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 70 cm (b) 34 cm (c) 17 cm (d) 27 cm
  29. 29.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 10 cm (c) 117 cm (d) 11 cm
  30. 30.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  31. 31.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 23 cm (b) 37 cm (c) 46 cm (d) 126 cm
  32. 32.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 17 cm (b) 3 cm (c) 2 cm (d) 4 cm
  33. 33.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 42 cm (b) 108 cm (c) 33 cm (d) 21 cm
  34. 34.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  35. 35.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) 40 cm (d) 12 cm
  36. 36.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 27 sq cm
  37. 37.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 27 sq cm (d) 18 sq cm
  38. 38.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 18 sq cm (d) 12 sq cm
  39. 39.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 45 cm
  40. 40.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 9 sq cm (d) 19 sq cm

Answer key

  1. 11 cm
  2. 5 cm
  3. 28 cm
  4. 40 sq cm
  5. 6 cm
  6. 49 sq cm
  7. 121 sq cm
  8. 42 cm
  9. 38 cm
  10. 3 cm
  11. 8 cm
  12. 66 sq cm
  13. 81 sq cm
  14. 220 sq cm
  15. 3 cm
  16. 30 cm
  17. 39 sq cm
  18. 22 sq cm
  19. 4 cm
  20. 88 sq cm
  21. 18 cm
  22. 46 cm
  23. 90 sq cm
  24. 20 cm
  25. 12 cm
  26. 126 sq cm
  27. 169 sq cm
  28. 34 cm
  29. 10 cm
  30. 36 sq cm
  31. 46 cm
  32. 2 cm
  33. 42 cm
  34. 144 sq cm
  35. 6 cm
  36. 27 sq cm
  37. 18 sq cm
  38. 12 sq cm
  39. 4 cm
  40. 18 sq cm

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