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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 531 · 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 88 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 77 cm (c) 8 cm (d) 16 cm
  2. 2.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 48 sq cm (d) 169 sq cm
  3. 3.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 49 cm (b) 29 cm (c) 180 cm (d) 58 cm
  4. 4.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 30 sq cm
  5. 5.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 32 cm (b) 6 cm (c) 10 cm (d) 5 cm
  6. 6.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 56 cm
  7. 7.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
  8. 8.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 44 cm (b) 41 cm (c) 22 cm (d) 57 cm
  9. 9.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 31 cm (b) 19 cm (c) 38 cm (d) 84 cm
  10. 10.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 96 sq cm (b) 21 sq cm (c) 42 sq cm (d) 80 sq cm
  11. 11.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
  12. 12.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  13. 13.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 42 cm (c) 13 cm (d) 26 cm
  14. 14.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 8 cm (c) 21 cm (d) 5 cm
  15. 15.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
  16. 16.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 168 sq cm (c) 52 sq cm (d) 182 sq cm
  17. 17.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
  18. 18.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 51 cm (c) 4 cm (d) 8 cm
  19. 19.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 24 cm (c) 19 cm (d) 22 cm
  20. 20.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 68 sq cm (c) 51 sq cm (d) 20 sq cm
  21. 21.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 144 sq cm (b) 25 sq cm (c) 50 sq cm (d) 160 sq cm
  22. 22.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 20 cm (d) 32 cm
  23. 23.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 42 sq cm (c) 21 sq cm (d) 112 sq cm
  24. 24.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 32 sq cm (d) 12 sq cm
  25. 25.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 78 cm
  26. 26.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  27. 27.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 7 cm
  28. 28.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 30 sq cm (c) 11 sq cm (d) 36 sq cm
  29. 29.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 22 cm
  30. 30.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  31. 31.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 28 sq cm (d) 21 sq cm
  32. 32.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 14 sq cm (c) 33 sq cm (d) 28 sq cm
  33. 33.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 63 cm (b) 8 cm (c) 9 cm (d) 16 cm
  34. 34.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 48 sq cm (c) 100 sq cm (d) 24 sq cm
  35. 35.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 48 cm (b) 10 cm (c) 6 cm (d) 5 cm
  36. 36.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 8 cm (c) 120 cm (d) 7 cm
  37. 37.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
  38. 38.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 17 cm (c) 60 cm (d) 34 cm
  39. 39.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 84 sq cm (d) 72 sq cm
  40. 40.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 35 cm (d) 132 cm

Answer key

  1. 8 cm
  2. 144 sq cm
  3. 58 cm
  4. 24 sq cm
  5. 5 cm
  6. 5 cm
  7. 49 sq cm
  8. 44 cm
  9. 38 cm
  10. 80 sq cm
  11. 121 sq cm
  12. 36 sq cm
  13. 26 cm
  14. 4 cm
  15. 169 sq cm
  16. 168 sq cm
  17. 81 sq cm
  18. 4 cm
  19. 22 cm
  20. 51 sq cm
  21. 144 sq cm
  22. 24 cm
  23. 98 sq cm
  24. 32 sq cm
  25. 7 cm
  26. 64 sq cm
  27. 2 cm
  28. 30 sq cm
  29. 3 cm
  30. 25 sq cm
  31. 21 sq cm
  32. 33 sq cm
  33. 8 cm
  34. 80 sq cm
  35. 5 cm
  36. 7 cm
  37. 20 cm
  38. 34 cm
  39. 72 sq cm
  40. 46 cm

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