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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 727 · 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 20 cm long and 10 cm wide. What is its area? (a) 220 sq cm (b) 60 sq cm (c) 30 sq cm (d) 200 sq cm
  2. 2.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 192 sq cm (b) 56 sq cm (c) 28 sq cm (d) 208 sq cm
  3. 3.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
  4. 4.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 28 cm (d) 80 cm
  5. 5.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 60 sq cm (d) 50 sq cm
  6. 6.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 56 cm (c) 36 cm (d) 32 cm
  7. 7.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
  8. 8.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
  9. 9.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 20 cm (d) 21 cm
  10. 10.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  11. 11.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 8 cm (c) 84 cm (d) 16 cm
  12. 12.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 35 cm (c) 12 cm (d) 7 cm
  13. 13.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 170 cm
  14. 14.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 99 cm
  15. 15.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 70 sq cm (d) 56 sq cm
  16. 16.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 102 cm (c) 14 cm (d) 7 cm
  17. 17.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 11 cm (d) 19 cm
  18. 18.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 36 sq cm (c) 26 sq cm (d) 45 sq cm
  19. 19.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 49 sq cm (c) 26 sq cm (d) 42 sq cm
  20. 20.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 90 cm (b) 23 cm (c) 41 cm (d) 46 cm
  21. 21.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 35 sq cm (c) 28 sq cm (d) 22 sq cm
  22. 22.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 4 cm (c) 8 cm (d) 5 cm
  23. 23.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 24 cm (d) 20 cm
  24. 24.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
  25. 25.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 80 sq cm (c) 34 sq cm (d) 70 sq cm
  26. 26.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 30 cm (b) 209 cm (c) 49 cm (d) 60 cm
  27. 27.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 50 cm (b) 41 cm (c) 25 cm (d) 144 cm
  28. 28.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 10 sq cm (d) 20 sq cm
  29. 29.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 36 sq cm (c) 22 sq cm (d) 30 sq cm
  30. 30.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 26 cm (c) 14 cm (d) 24 cm
  31. 31.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 20 cm (c) 40 cm (d) 84 cm
  32. 32.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 47 cm (c) 140 cm (d) 54 cm
  33. 33.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 12 sq cm (d) 18 sq cm
  34. 34.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 80 cm
  35. 35.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 198 cm
  36. 36.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 136 cm (b) 50 cm (c) 25 cm (d) 42 cm
  37. 37.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 96 sq cm (c) 38 sq cm (d) 84 sq cm
  38. 38.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  39. 39.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 55 cm (b) 12 cm (c) 7 cm (d) 6 cm
  40. 40.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 58 sq cm (b) 204 sq cm (c) 221 sq cm (d) 29 sq cm

Answer key

  1. 200 sq cm
  2. 192 sq cm
  3. 81 sq cm
  4. 36 cm
  5. 50 sq cm
  6. 36 cm
  7. 100 sq cm
  8. 2 cm
  9. 20 cm
  10. 49 sq cm
  11. 8 cm
  12. 6 cm
  13. 11 cm
  14. 10 cm
  15. 56 sq cm
  16. 7 cm
  17. 22 cm
  18. 36 sq cm
  19. 42 sq cm
  20. 46 cm
  21. 28 sq cm
  22. 4 cm
  23. 20 cm
  24. 196 sq cm
  25. 70 sq cm
  26. 60 cm
  27. 50 cm
  28. 24 sq cm
  29. 30 sq cm
  30. 28 cm
  31. 40 cm
  32. 54 cm
  33. 12 sq cm
  34. 5 cm
  35. 12 cm
  36. 50 cm
  37. 84 sq cm
  38. 169 sq cm
  39. 6 cm
  40. 204 sq cm

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