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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 632 · 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 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  2. 2.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 88 cm
  3. 3.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 24 cm
  4. 4.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 60 cm (c) 29 cm (d) 34 cm
  5. 5.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 80 sq cm (c) 60 sq cm (d) 23 sq cm
  6. 6.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 18 cm (d) 16 cm
  7. 7.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 50 cm (b) 114 cm (c) 25 cm (d) 44 cm
  8. 8.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 12 sq cm (c) 24 sq cm (d) 40 sq cm
  9. 9.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 7 cm (c) 120 cm (d) 8 cm
  10. 10.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 56 sq cm (d) 64 sq cm
  11. 11.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 56 cm (b) 32 cm (c) 18 cm (d) 36 cm
  12. 12.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 52 cm (c) 10 cm (d) 5 cm
  13. 13.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
  14. 14.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 35 sq cm (d) 28 sq cm
  15. 15.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 63 cm
  16. 16.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 150 sq cm (b) 48 sq cm (c) 135 sq cm (d) 24 sq cm
  17. 17.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 120 cm (c) 11 cm (d) 22 cm
  18. 18.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 100 sq cm (d) 18 sq cm
  19. 19.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 19 sq cm (c) 64 sq cm (d) 38 sq cm
  20. 20.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 22 cm (b) 37 cm (c) 44 cm (d) 105 cm
  21. 21.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 21 cm (d) 17 cm
  22. 22.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 56 sq cm (c) 14 sq cm (d) 28 sq cm
  23. 23.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 22 sq cm (d) 11 sq cm
  24. 24.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 38 cm (c) 40 cm (d) 36 cm
  25. 25.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 100 sq cm (d) 40 sq cm
  26. 26.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 90 sq cm (c) 75 sq cm (d) 20 sq cm
  27. 27.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 27 sq cm (d) 24 sq cm
  28. 28.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 17 sq cm (c) 80 sq cm (d) 34 sq cm
  29. 29.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
  30. 30.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 27 cm (c) 21 cm (d) 12 cm
  31. 31.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 20 cm (b) 171 cm (c) 11 cm (d) 10 cm
  32. 32.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 20 sq cm (c) 10 sq cm (d) 28 sq cm
  33. 33.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 33 cm (c) 91 cm (d) 40 cm
  34. 34.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 5 cm (c) 10 cm (d) 6 cm
  35. 35.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 39 cm (b) 4 cm (c) 8 cm (d) 5 cm
  36. 36.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 23 cm (d) 45 cm
  37. 37.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 98 sq cm (c) 21 sq cm (d) 42 sq cm
  38. 38.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 25 sq cm (b) 165 sq cm (c) 50 sq cm (d) 150 sq cm
  39. 39.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 26 cm (c) 17 cm (d) 34 cm
  40. 40.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 6 cm (c) 4 cm (d) 3 cm

Answer key

  1. 169 sq cm
  2. 9 cm
  3. 3 cm
  4. 34 cm
  5. 60 sq cm
  6. 20 cm
  7. 50 cm
  8. 32 sq cm
  9. 7 cm
  10. 56 sq cm
  11. 36 cm
  12. 5 cm
  13. 64 sq cm
  14. 28 sq cm
  15. 8 cm
  16. 135 sq cm
  17. 11 cm
  18. 81 sq cm
  19. 48 sq cm
  20. 44 cm
  21. 20 cm
  22. 48 sq cm
  23. 30 sq cm
  24. 40 cm
  25. 100 sq cm
  26. 75 sq cm
  27. 27 sq cm
  28. 70 sq cm
  29. 196 sq cm
  30. 24 cm
  31. 10 cm
  32. 21 sq cm
  33. 40 cm
  34. 5 cm
  35. 4 cm
  36. 28 cm
  37. 98 sq cm
  38. 150 sq cm
  39. 34 cm
  40. 2 cm

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