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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 355 · 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 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
  2. 2.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 8 cm (c) 66 cm (d) 14 cm
  3. 3.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 22 cm (c) 11 cm (d) 12 cm
  4. 4.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 20 cm (c) 2 cm (d) 3 cm
  5. 5.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 8 cm (c) 4 cm (d) 5 cm
  6. 6.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 11 cm (d) 28 cm
  7. 7.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 40 sq cm (d) 32 sq cm
  8. 8.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  9. 9.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 13 cm (c) 24 cm (d) 12 cm
  10. 10.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
  11. 11.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 20 sq cm (b) 104 sq cm (c) 91 sq cm (d) 40 sq cm
  12. 12.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 28 cm (c) 25 cm (d) 14 cm
  13. 13.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 140 cm
  14. 14.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 42 sq cm (d) 28 sq cm
  15. 15.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 100 sq cm (d) 80 sq cm
  16. 16.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 126 sq cm (c) 144 sq cm (d) 25 sq cm
  17. 17.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 17 cm (c) 11 cm (d) 30 cm
  18. 18.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 170 sq cm (b) 26 sq cm (c) 153 sq cm (d) 52 sq cm
  19. 19.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 9 cm (c) 16 cm (d) 8 cm
  20. 20.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 39 sq cm (c) 16 sq cm (d) 52 sq cm
  21. 21.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 39 cm (c) 8 cm (d) 4 cm
  22. 22.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 120 sq cm (d) 100 sq cm
  23. 23.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 65 sq cm (c) 36 sq cm (d) 18 sq cm
  24. 24.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 120 cm
  25. 25.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 65 cm
  26. 26.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 48 sq cm (b) 32 sq cm (c) 36 sq cm (d) 18 sq cm
  27. 27.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 162 cm (b) 11 cm (c) 10 cm (d) 20 cm
  28. 28.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 133 cm
  29. 29.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 28 cm (c) 6 cm (d) 3 cm
  30. 30.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 160 sq cm (d) 176 sq cm
  31. 31.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 40 cm
  32. 32.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 171 cm (d) 47 cm
  33. 33.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 48 sq cm (c) 36 sq cm (d) 30 sq cm
  34. 34.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  35. 35.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 35 cm (c) 24 cm (d) 19 cm
  36. 36.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 57 cm (c) 44 cm (d) 41 cm
  37. 37.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 108 sq cm (c) 42 sq cm (d) 21 sq cm
  38. 38.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 98 cm (b) 21 cm (c) 42 cm (d) 35 cm
  39. 39.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 26 cm (d) 24 cm
  40. 40.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 96 sq cm (b) 108 sq cm (c) 20 sq cm (d) 40 sq cm

Answer key

  1. 49 sq cm
  2. 7 cm
  3. 11 cm
  4. 2 cm
  5. 4 cm
  6. 22 cm
  7. 32 sq cm
  8. 100 sq cm
  9. 12 cm
  10. 225 sq cm
  11. 91 sq cm
  12. 28 cm
  13. 11 cm
  14. 28 sq cm
  15. 80 sq cm
  16. 126 sq cm
  17. 22 cm
  18. 153 sq cm
  19. 8 cm
  20. 39 sq cm
  21. 4 cm
  22. 100 sq cm
  23. 65 sq cm
  24. 11 cm
  25. 6 cm
  26. 32 sq cm
  27. 10 cm
  28. 8 cm
  29. 3 cm
  30. 160 sq cm
  31. 5 cm
  32. 56 cm
  33. 36 sq cm
  34. 81 sq cm
  35. 24 cm
  36. 44 cm
  37. 108 sq cm
  38. 42 cm
  39. 26 cm
  40. 96 sq cm

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