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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 930 · 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 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 72 cm (c) 17 cm (d) 34 cm
  2. 2.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 40 cm (c) 3 cm (d) 4 cm
  3. 3.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 32 cm (c) 10 cm (d) 5 cm
  4. 4.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 114 cm (b) 50 cm (c) 44 cm (d) 25 cm
  5. 5.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 20 cm (d) 10 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 rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 36 cm (d) 27 cm
  8. 8.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 56 sq cm (c) 28 sq cm (d) 14 sq cm
  9. 9.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
  10. 10.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 221 sq cm (c) 204 sq cm (d) 58 sq cm
  11. 11.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 24 sq cm (c) 28 sq cm (d) 36 sq cm
  12. 12.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 54 sq cm (d) 72 sq cm
  13. 13.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 25 cm (b) 144 cm (c) 41 cm (d) 50 cm
  14. 14.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 4 cm (c) 5 cm (d) 8 cm
  15. 15.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 52 sq cm (b) 168 sq cm (c) 182 sq cm (d) 26 sq cm
  16. 16.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 10 sq cm (c) 20 sq cm (d) 24 sq cm
  17. 17.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 24 cm (d) 12 cm
  18. 18.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 6 cm (c) 12 cm (d) 7 cm
  19. 19.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 42 sq cm (d) 12 sq cm
  20. 20.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 27 sq cm (c) 36 sq cm (d) 24 sq cm
  21. 21.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  22. 22.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 4 cm (c) 5 cm (d) 2 cm
  23. 23.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 2 cm (c) 19 cm (d) 3 cm
  24. 24.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  25. 25.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
  26. 26.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 152 cm (b) 27 cm (c) 46 cm (d) 54 cm
  27. 27.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 28 sq cm (b) 190 sq cm (c) 56 sq cm (d) 171 sq cm
  28. 28.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 4 cm (c) 32 cm (d) 6 cm
  29. 29.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 37 cm (b) 24 cm (c) 48 cm (d) 143 cm
  30. 30.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 15 cm (c) 30 cm (d) 24 cm
  31. 31.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  32. 32.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 60 cm (b) 30 cm (c) 49 cm (d) 209 cm
  33. 33.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 7 cm (c) 8 cm (d) 14 cm
  34. 34.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 180 cm (c) 22 cm (d) 12 cm
  35. 35.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 220 sq cm (c) 62 sq cm (d) 240 sq cm
  36. 36.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 18 cm (c) 10 cm (d) 9 cm
  37. 37.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 180 sq cm (b) 165 sq cm (c) 26 sq cm (d) 52 sq cm
  38. 38.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 25 cm (c) 50 cm (d) 30 cm
  39. 39.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 sq cm
  40. 40.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 20 sq cm (d) 121 sq cm

Answer key

  1. 34 cm
  2. 3 cm
  3. 5 cm
  4. 50 cm
  5. 20 cm
  6. 81 sq cm
  7. 30 cm
  8. 48 sq cm
  9. 225 sq cm
  10. 204 sq cm
  11. 24 sq cm
  12. 54 sq cm
  13. 50 cm
  14. 4 cm
  15. 168 sq cm
  16. 16 sq cm
  17. 24 cm
  18. 6 cm
  19. 35 sq cm
  20. 27 sq cm
  21. 196 sq cm
  22. 2 cm
  23. 2 cm
  24. 36 sq cm
  25. 28 sq cm
  26. 54 cm
  27. 171 sq cm
  28. 3 cm
  29. 48 cm
  30. 30 cm
  31. 49 sq cm
  32. 60 cm
  33. 7 cm
  34. 11 cm
  35. 220 sq cm
  36. 9 cm
  37. 165 sq cm
  38. 30 cm
  39. 64 sq cm
  40. 100 sq cm

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