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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 506 · 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 is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 65 sq cm (c) 78 sq cm (d) 36 sq cm
  2. 2.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
  3. 3.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 36 cm (c) 22 cm (d) 26 cm
  4. 4.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 16 cm (c) 55 cm (d) 32 cm
  5. 5.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 80 cm (b) 42 cm (c) 21 cm (d) 37 cm
  6. 6.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 75 cm
  7. 7.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 18 sq cm (c) 14 sq cm (d) 9 sq cm
  8. 8.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 18 cm (c) 10 cm (d) 9 cm
  9. 9.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 34 sq cm (c) 81 sq cm (d) 17 sq cm
  10. 10.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 153 cm (d) 43 cm
  11. 11.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
  12. 12.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
  13. 13.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 19 cm (c) 78 cm (d) 38 cm
  14. 14.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 133 cm
  15. 15.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 24 sq cm (c) 100 sq cm (d) 48 sq cm
  16. 16.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 10 cm (c) 28 cm (d) 5 cm
  17. 17.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  18. 18.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 63 cm
  19. 19.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 10 cm (c) 117 cm (d) 20 cm
  20. 20.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 20 cm (d) 42 cm
  21. 21.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 136 cm (c) 10 cm (d) 9 cm
  22. 22.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 120 sq cm (c) 26 sq cm (d) 52 sq cm
  23. 23.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 10 cm (c) 16 cm (d) 20 cm
  24. 24.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 24 cm (c) 10 cm (d) 5 cm
  25. 25.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 32 sq cm (d) 81 sq cm
  26. 26.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 39 cm (d) 29 cm
  27. 27.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 2 cm (c) 11 cm (d) 3 cm
  28. 28.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 36 cm (d) 130 cm
  29. 29.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 76 sq cm (c) 23 sq cm (d) 95 sq cm
  30. 30.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 76 sq cm (c) 57 sq cm (d) 22 sq cm
  31. 31.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 14 cm (b) 7 cm (c) 72 cm (d) 8 cm
  32. 32.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 6 cm (c) 26 cm (d) 4 cm
  33. 33.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 110 sq cm (b) 121 sq cm (c) 21 sq cm (d) 42 sq cm
  34. 34.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 17 cm (d) 30 cm
  35. 35.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 180 cm (b) 28 cm (c) 46 cm (d) 56 cm
  36. 36.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 11 cm (c) 18 cm (d) 22 cm
  37. 37.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 54 cm (b) 44 cm (c) 27 cm (d) 170 cm
  38. 38.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 100 sq cm (d) 90 sq cm
  39. 39.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
  40. 40.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 6 cm (c) 4 cm (d) 3 cm

Answer key

  1. 65 sq cm
  2. 81 sq cm
  3. 26 cm
  4. 32 cm
  5. 42 cm
  6. 6 cm
  7. 14 sq cm
  8. 9 cm
  9. 72 sq cm
  10. 52 cm
  11. 100 sq cm
  12. 121 sq cm
  13. 38 cm
  14. 8 cm
  15. 80 sq cm
  16. 5 cm
  17. 196 sq cm
  18. 8 cm
  19. 10 cm
  20. 26 cm
  21. 9 cm
  22. 120 sq cm
  23. 20 cm
  24. 5 cm
  25. 64 sq cm
  26. 32 cm
  27. 2 cm
  28. 46 cm
  29. 76 sq cm
  30. 57 sq cm
  31. 7 cm
  32. 3 cm
  33. 110 sq cm
  34. 22 cm
  35. 56 cm
  36. 22 cm
  37. 54 cm
  38. 90 sq cm
  39. 169 sq cm
  40. 3 cm

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