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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 571 · 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 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 84 sq cm (c) 38 sq cm (d) 19 sq cm
  2. 2.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) 80 cm (d) 9 cm
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
  4. 4.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 15 cm (d) 30 cm
  5. 5.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 16 sq cm (c) 10 sq cm (d) 24 sq cm
  6. 6.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 17 cm (c) 34 cm (d) 30 cm
  7. 7.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 36 sq cm (c) 45 sq cm (d) 13 sq cm
  8. 8.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  9. 9.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 3 cm (c) 6 cm (d) 4 cm
  10. 10.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 36 sq cm (c) 24 sq cm (d) 28 sq cm
  11. 11.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 60 cm
  12. 12.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 14 cm (c) 8 cm (d) 7 cm
  13. 13.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 8 cm (c) 14 cm (d) 12 cm
  14. 14.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 63 sq cm (c) 30 sq cm (d) 15 sq cm
  15. 15.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 100 sq cm (d) 120 sq cm
  16. 16.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 64 sq cm (c) 15 sq cm (d) 30 sq cm
  17. 17.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 40 sq cm (c) 99 sq cm (d) 20 sq cm
  18. 18.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 23 sq cm (b) 108 sq cm (c) 90 sq cm (d) 46 sq cm
  19. 19.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
  20. 20.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 35 sq cm (c) 28 sq cm (d) 11 sq cm
  21. 21.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 42 sq cm (b) 112 sq cm (c) 98 sq cm (d) 21 sq cm
  22. 22.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 20 cm (c) 11 cm (d) 10 cm
  23. 23.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  24. 24.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  25. 25.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 96 cm (c) 9 cm (d) 10 cm
  26. 26.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  27. 27.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
  28. 28.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 37 cm (d) 143 cm
  29. 29.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 44 sq cm (c) 22 sq cm (d) 126 sq 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 18 cm long and 5 cm wide. What is its perimeter? (a) 41 cm (b) 90 cm (c) 23 cm (d) 46 cm
  32. 32.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 16 cm (c) 126 cm (d) 9 cm
  33. 33.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 98 cm (b) 42 cm (c) 35 cm (d) 21 cm
  34. 34.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 30 sq cm (d) 40 sq cm
  35. 35.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 3 cm (c) 13 cm (d) 2 cm
  36. 36.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 34 cm (c) 3 cm (d) 4 cm
  37. 37.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 180 sq cm (b) 198 sq cm (c) 28 sq cm (d) 56 sq cm
  38. 38.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 190 cm (b) 29 cm (c) 58 cm (d) 48 cm
  39. 39.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 91 cm (b) 33 cm (c) 20 cm (d) 40 cm
  40. 40.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 24 cm (d) 10 cm

Answer key

  1. 84 sq cm
  2. 9 cm
  3. 49 sq cm
  4. 30 cm
  5. 16 sq cm
  6. 34 cm
  7. 36 sq cm
  8. 36 sq cm
  9. 3 cm
  10. 24 sq cm
  11. 4 cm
  12. 7 cm
  13. 16 cm
  14. 54 sq cm
  15. 100 sq cm
  16. 56 sq cm
  17. 99 sq cm
  18. 90 sq cm
  19. 128 sq cm
  20. 28 sq cm
  21. 98 sq cm
  22. 10 cm
  23. 121 sq cm
  24. 169 sq cm
  25. 9 cm
  26. 64 sq cm
  27. 144 sq cm
  28. 48 cm
  29. 112 sq cm
  30. 25 sq cm
  31. 46 cm
  32. 8 cm
  33. 42 cm
  34. 30 sq cm
  35. 2 cm
  36. 3 cm
  37. 180 sq cm
  38. 58 cm
  39. 40 cm
  40. 20 cm

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