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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 583 · 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 24 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 2 cm (c) 4 cm (d) 3 cm
  2. 2.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 64 sq cm (c) 30 sq cm (d) 15 sq cm
  3. 3.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
  4. 4.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 4 cm (c) 8 cm (d) 3 cm
  5. 5.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
  6. 6.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 130 cm
  7. 7.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
  8. 8.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 10 cm (c) 11 cm (d) 20 cm
  9. 9.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 72 sq cm (b) 21 sq cm (c) 54 sq cm (d) 42 sq cm
  10. 10.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
  11. 11.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
  12. 12.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 48 cm (c) 60 cm (d) 216 cm
  13. 13.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
  14. 14.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 4 cm (c) 3 cm (d) 2 cm
  15. 15.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 18 cm (d) 16 cm
  16. 16.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
  17. 17.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 102 cm (b) 23 cm (c) 40 cm (d) 46 cm
  18. 18.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 38 sq cm (c) 21 sq cm (d) 57 sq cm
  19. 19.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 38 cm (d) 48 cm
  20. 20.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 36 cm (c) 34 cm (d) 19 cm
  21. 21.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 43 cm (d) 153 cm
  22. 22.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 45 sq cm (c) 36 sq cm (d) 60 sq cm
  23. 23.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 24 cm
  24. 24.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
  25. 25.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 46 cm (c) 76 cm (d) 23 cm
  26. 26.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 95 sq cm (c) 114 sq cm (d) 48 sq cm
  27. 27.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 16 cm (c) 63 cm (d) 8 cm
  28. 28.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 66 cm (c) 28 cm (d) 34 cm
  29. 29.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 31 sq cm (c) 62 sq cm (d) 220 sq cm
  30. 30.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 10 cm (c) 56 cm (d) 5 cm
  31. 31.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 42 cm (c) 40 cm (d) 21 cm
  32. 32.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 52 sq cm (c) 26 sq cm (d) 120 sq cm
  33. 33.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 3 cm (b) 19 cm (c) 4 cm (d) 2 cm
  34. 34.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 23 sq cm (c) 46 sq cm (d) 126 sq cm
  35. 35.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 41 cm (c) 50 cm (d) 25 cm
  36. 36.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 24 cm (b) 176 cm (c) 13 cm (d) 12 cm
  37. 37.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 78 sq cm (d) 65 sq cm
  38. 38.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 152 cm (b) 54 cm (c) 27 cm (d) 46 cm
  39. 39.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 5 cm (c) 36 cm (d) 4 cm
  40. 40.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 19 sq cm (c) 38 sq cm (d) 70 sq cm

Answer key

  1. 2 cm
  2. 56 sq cm
  3. 64 sq cm
  4. 3 cm
  5. 225 sq cm
  6. 11 cm
  7. 100 sq cm
  8. 10 cm
  9. 54 sq cm
  10. 36 sq cm
  11. 81 sq cm
  12. 60 cm
  13. 49 sq cm
  14. 2 cm
  15. 18 cm
  16. 11 cm
  17. 46 cm
  18. 38 sq cm
  19. 38 cm
  20. 38 cm
  21. 52 cm
  22. 45 sq cm
  23. 4 cm
  24. 25 sq cm
  25. 46 cm
  26. 95 sq cm
  27. 8 cm
  28. 34 cm
  29. 220 sq cm
  30. 5 cm
  31. 42 cm
  32. 120 sq cm
  33. 2 cm
  34. 126 sq cm
  35. 50 cm
  36. 12 cm
  37. 65 sq cm
  38. 54 cm
  39. 4 cm
  40. 70 sq cm

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