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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 694 · 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 70 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 60 cm (c) 8 cm (d) 14 cm
  2. 2.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 15 sq cm (c) 30 sq cm (d) 54 sq cm
  3. 3.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 22 cm (d) 13 cm
  4. 4.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
  5. 5.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 15 sq cm (c) 64 sq cm (d) 30 sq cm
  6. 6.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 12 cm (d) 24 cm
  7. 7.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 23 sq cm (b) 95 sq cm (c) 76 sq cm (d) 46 sq cm
  8. 8.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
  9. 9.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 60 cm (b) 216 cm (c) 48 cm (d) 30 cm
  10. 10.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 66 sq cm (c) 17 sq cm (d) 34 sq cm
  11. 11.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 16 sq cm (d) 18 sq cm
  12. 12.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 64 cm (c) 36 cm (d) 40 cm
  13. 13.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 48 cm (c) 24 cm (d) 128 cm
  14. 14.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 144 cm (c) 52 cm (d) 26 cm
  15. 15.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 4 cm (c) 7 cm (d) 2 cm
  16. 16.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 14 cm (c) 28 cm (d) 48 cm
  17. 17.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 11 sq cm (d) 30 sq cm
  18. 18.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 132 sq cm (d) 120 sq cm
  19. 19.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 105 sq cm (b) 22 sq cm (c) 120 sq cm (d) 44 sq cm
  20. 20.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 72 sq cm (b) 42 sq cm (c) 21 sq cm (d) 54 sq cm
  21. 21.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 47 cm (d) 171 cm
  22. 22.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 50 cm (c) 25 cm (d) 136 cm
  23. 23.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
  24. 24.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 18 cm (d) 11 cm
  25. 25.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 135 sq cm (b) 46 sq cm (c) 120 sq cm (d) 23 sq cm
  26. 26.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 4 cm (c) 2 cm (d) 3 cm
  27. 27.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
  28. 28.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 176 cm (b) 43 cm (c) 54 cm (d) 27 cm
  29. 29.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 22 cm (d) 11 cm
  30. 30.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 34 cm (c) 19 cm (d) 36 cm
  31. 31.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 154 cm (c) 12 cm (d) 13 cm
  32. 32.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 180 cm (b) 46 cm (c) 28 cm (d) 56 cm
  33. 33.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 43 cm (b) 24 cm (c) 48 cm (d) 95 cm
  34. 34.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 24 cm (c) 13 cm (d) 12 cm
  35. 35.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 35 sq cm (d) 11 sq cm
  36. 36.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 12 cm
  37. 37.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 18 cm (b) 30 cm (c) 72 cm (d) 36 cm
  38. 38.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 90 cm
  39. 39.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 64 cm (b) 52 cm (c) 32 cm (d) 240 cm
  40. 40.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 36 cm (b) 6 cm (c) 4 cm (d) 3 cm

Answer key

  1. 7 cm
  2. 54 sq cm
  3. 26 cm
  4. 225 sq cm
  5. 56 sq cm
  6. 24 cm
  7. 76 sq cm
  8. 64 sq cm
  9. 60 cm
  10. 66 sq cm
  11. 12 sq cm
  12. 40 cm
  13. 48 cm
  14. 52 cm
  15. 2 cm
  16. 28 cm
  17. 30 sq cm
  18. 120 sq cm
  19. 105 sq cm
  20. 54 sq cm
  21. 56 cm
  22. 50 cm
  23. 49 sq cm
  24. 22 cm
  25. 120 sq cm
  26. 2 cm
  27. 144 sq cm
  28. 54 cm
  29. 22 cm
  30. 38 cm
  31. 12 cm
  32. 56 cm
  33. 48 cm
  34. 12 cm
  35. 28 sq cm
  36. 3 cm
  37. 36 cm
  38. 7 cm
  39. 64 cm
  40. 3 cm

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