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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 349 · 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 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 9 cm (c) 16 cm (d) 8 cm
  2. 2.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 119 sq cm (b) 24 sq cm (c) 136 sq cm (d) 48 sq cm
  3. 3.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 15 cm (d) 9 cm
  4. 4.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 20 cm (c) 126 cm (d) 11 cm
  5. 5.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 54 sq cm (d) 36 sq cm
  6. 6.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
  7. 7.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  8. 8.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 70 sq cm (d) 60 sq cm
  9. 9.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 165 cm
  10. 10.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 7 cm (c) 6 cm (d) 12 cm
  11. 11.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 16 cm (d) 18 cm
  12. 12.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 10 sq cm (d) 24 sq cm
  13. 13.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 14 sq cm (d) 28 sq cm
  14. 14.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  15. 15.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  16. 16.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 95 cm (c) 6 cm (d) 7 cm
  17. 17.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 9 cm (c) 88 cm (d) 18 cm
  18. 18.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 36 cm (b) 6 cm (c) 3 cm (d) 4 cm
  19. 19.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 81 sq cm (d) 16 sq cm
  20. 20.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
  21. 21.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 78 sq cm (d) 65 sq cm
  22. 22.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 140 cm (d) 47 cm
  23. 23.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 18 sq cm (d) 19 sq cm
  24. 24.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 56 sq cm (c) 171 sq cm (d) 28 sq cm
  25. 25.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 38 cm (b) 140 cm (c) 24 cm (d) 48 cm
  26. 26.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 5 cm (c) 51 cm (d) 4 cm
  27. 27.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 48 sq cm (c) 18 sq cm (d) 32 sq cm
  28. 28.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 19 cm (d) 11 cm
  29. 29.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 15 cm (c) 30 cm (d) 28 cm
  30. 30.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 18 sq cm (d) 27 sq cm
  31. 31.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 72 cm (c) 40 cm (d) 22 cm
  32. 32.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 50 cm (b) 42 cm (c) 25 cm (d) 136 cm
  33. 33.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 12 cm (c) 20 cm (d) 24 cm
  34. 34.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 52 sq cm (b) 34 sq cm (c) 65 sq cm (d) 17 sq cm
  35. 35.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 28 sq cm (b) 198 sq cm (c) 180 sq cm (d) 56 sq cm
  36. 36.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 45 sq cm (d) 54 sq cm
  37. 37.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 24 cm (c) 6 cm (d) 3 cm
  38. 38.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  39. 39.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 128 cm
  40. 40.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 190 cm

Answer key

  1. 8 cm
  2. 119 sq cm
  3. 18 cm
  4. 10 cm
  5. 36 sq cm
  6. 81 sq cm
  7. 144 sq cm
  8. 60 sq cm
  9. 12 cm
  10. 6 cm
  11. 18 cm
  12. 24 sq cm
  13. 48 sq cm
  14. 36 sq cm
  15. 100 sq cm
  16. 6 cm
  17. 9 cm
  18. 3 cm
  19. 64 sq cm
  20. 14 sq cm
  21. 65 sq cm
  22. 54 cm
  23. 18 sq cm
  24. 171 sq cm
  25. 48 cm
  26. 4 cm
  27. 32 sq cm
  28. 22 cm
  29. 30 cm
  30. 18 sq cm
  31. 44 cm
  32. 50 cm
  33. 24 cm
  34. 52 sq cm
  35. 180 sq cm
  36. 45 sq cm
  37. 3 cm
  38. 25 sq cm
  39. 9 cm
  40. 11 cm

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