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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 724 · 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 180 sq cm and a length of 20 cm. What is its width? (a) 160 cm (b) 10 cm (c) 9 cm (d) 18 cm
  2. 2.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 96 cm
  3. 3.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 1 cm (c) 2 cm (d) 4 cm
  4. 4.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 8 cm (c) 14 cm (d) 7 cm
  5. 5.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  6. 6.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 140 cm (b) 54 cm (c) 27 cm (d) 47 cm
  7. 7.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 40 cm (d) 72 cm
  8. 8.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 168 sq cm (c) 182 sq cm (d) 52 sq cm
  9. 9.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 200 sq cm (b) 30 sq cm (c) 220 sq cm (d) 60 sq cm
  10. 10.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 5 cm (c) 3 cm (d) 2 cm
  11. 11.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 3 cm (b) 38 cm (c) 6 cm (d) 4 cm
  12. 12.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 24 cm
  13. 13.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 170 cm (c) 27 cm (d) 54 cm
  14. 14.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 58 cm (b) 29 cm (c) 198 cm (d) 47 cm
  15. 15.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 45 cm (b) 56 cm (c) 187 cm (d) 28 cm
  16. 16.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 91 cm
  17. 17.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 12 cm (c) 13 cm (d) 24 cm
  18. 18.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 15 cm (d) 19 cm
  19. 19.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 90 sq cm (d) 108 sq cm
  20. 20.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 84 cm (c) 20 cm (d) 40 cm
  21. 21.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 88 sq cm (c) 18 sq cm (d) 77 sq cm
  22. 22.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  23. 23.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 14 cm (c) 2 cm (d) 4 cm
  24. 24.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 4 cm (c) 3 cm (d) 2 cm
  25. 25.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 2 cm (b) 18 cm (c) 4 cm (d) 3 cm
  26. 26.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 6 cm (c) 52 cm (d) 5 cm
  27. 27.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 19 cm
  28. 28.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 150 cm (c) 11 cm (d) 22 cm
  29. 29.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 10 cm (b) 36 cm (c) 5 cm (d) 6 cm
  30. 30.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 16 cm
  31. 31.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 26 sq cm (b) 176 sq cm (c) 52 sq cm (d) 160 sq cm
  32. 32.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 12 cm (c) 143 cm (d) 24 cm
  33. 33.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 18 sq cm (c) 36 sq cm (d) 72 sq cm
  34. 34.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 32 cm (d) 34 cm
  35. 35.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 30 sq cm (c) 40 sq cm (d) 26 sq cm
  36. 36.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 16 cm (d) 10 cm
  37. 37.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 18 cm (d) 28 cm
  38. 38.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 16 sq cm (d) 10 sq cm
  39. 39.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 51 sq cm (d) 68 sq cm
  40. 40.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 54 sq cm (b) 20 sq cm (c) 40 sq cm (d) 36 sq cm

Answer key

  1. 9 cm
  2. 7 cm
  3. 2 cm
  4. 7 cm
  5. 49 sq cm
  6. 54 cm
  7. 44 cm
  8. 168 sq cm
  9. 200 sq cm
  10. 2 cm
  11. 3 cm
  12. 5 cm
  13. 54 cm
  14. 58 cm
  15. 56 cm
  16. 8 cm
  17. 12 cm
  18. 18 cm
  19. 90 sq cm
  20. 40 cm
  21. 77 sq cm
  22. 25 sq cm
  23. 2 cm
  24. 2 cm
  25. 2 cm
  26. 5 cm
  27. 2 cm
  28. 11 cm
  29. 5 cm
  30. 2 cm
  31. 160 sq cm
  32. 12 cm
  33. 72 sq cm
  34. 34 cm
  35. 30 sq cm
  36. 20 cm
  37. 22 cm
  38. 16 sq cm
  39. 51 sq cm
  40. 36 sq cm

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