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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 277 · 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 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
  2. 2.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 66 sq cm (b) 17 sq cm (c) 34 sq cm (d) 77 sq cm
  3. 3.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
  4. 4.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 33 cm (c) 14 cm (d) 25 cm
  5. 5.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 28 cm (c) 18 cm (d) 36 cm
  6. 6.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 102 sq cm (b) 85 sq cm (c) 22 sq cm (d) 44 sq cm
  7. 7.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 198 cm (b) 58 cm (c) 47 cm (d) 29 cm
  8. 8.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 45 sq cm (b) 34 sq cm (c) 30 sq cm (d) 17 sq cm
  9. 9.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 14 cm (c) 8 cm (d) 7 cm
  10. 10.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 22 sq cm (c) 33 sq cm (d) 13 sq cm
  11. 11.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 60 cm (c) 7 cm (d) 12 cm
  12. 12.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 14 cm (c) 6 cm (d) 4 cm
  13. 13.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 21 cm (d) 20 cm
  14. 14.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 15 cm (c) 23 cm (d) 30 cm
  15. 15.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) 5 cm (d) 4 cm
  16. 16.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 6 cm (c) 10 cm (d) 5 cm
  17. 17.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 15 sq cm (d) 48 sq cm
  18. 18.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 16 sq cm (d) 8 sq cm
  19. 19.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 66 cm (d) 28 cm
  20. 20.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
  21. 21.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 28 cm (d) 22 cm
  22. 22.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
  23. 23.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 18 cm (c) 112 cm (d) 10 cm
  24. 24.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 11 cm (c) 153 cm (d) 20 cm
  25. 25.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 4 cm (c) 48 cm (d) 5 cm
  26. 26.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 98 sq cm (c) 42 sq cm (d) 21 sq cm
  27. 27.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 12 sq cm (d) 24 sq cm
  28. 28.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 4 cm (c) 5 cm (d) 8 cm
  29. 29.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 150 cm (c) 40 cm (d) 25 cm
  30. 30.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  31. 31.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 64 sq cm (b) 48 sq cm (c) 19 sq cm (d) 38 sq cm
  32. 32.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 72 cm (b) 36 cm (c) 30 cm (d) 18 cm
  33. 33.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 15 sq cm (c) 55 sq cm (d) 30 sq cm
  34. 34.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
  35. 35.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 12 cm (c) 150 cm (d) 22 cm
  36. 36.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
  37. 37.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 110 sq cm (d) 99 sq cm
  38. 38.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 9 sq cm (c) 24 sq cm (d) 18 sq cm
  39. 39.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 36 cm
  40. 40.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 80 cm

Answer key

  1. 25 sq cm
  2. 66 sq cm
  3. 54 sq cm
  4. 28 cm
  5. 36 cm
  6. 85 sq cm
  7. 58 cm
  8. 30 sq cm
  9. 7 cm
  10. 22 sq cm
  11. 6 cm
  12. 3 cm
  13. 20 cm
  14. 30 cm
  15. 4 cm
  16. 5 cm
  17. 36 sq cm
  18. 12 sq cm
  19. 34 cm
  20. 64 sq cm
  21. 22 cm
  22. 144 sq cm
  23. 9 cm
  24. 10 cm
  25. 4 cm
  26. 98 sq cm
  27. 20 sq cm
  28. 4 cm
  29. 50 cm
  30. 81 sq cm
  31. 48 sq cm
  32. 36 cm
  33. 44 sq cm
  34. 49 sq cm
  35. 11 cm
  36. 196 sq cm
  37. 99 sq cm
  38. 18 sq cm
  39. 5 cm
  40. 9 cm

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