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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 806 · 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 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 15 sq cm (c) 60 sq cm (d) 30 sq cm
  2. 2.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
  3. 3.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 20 cm (d) 32 cm
  4. 4.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  5. 5.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 30 cm (c) 15 cm (d) 27 cm
  6. 6.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 10 cm (d) 18 cm
  7. 7.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 42 sq cm (d) 35 sq cm
  8. 8.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 15 sq cm (c) 30 sq cm (d) 55 sq cm
  9. 9.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 13 sq cm (c) 26 sq cm (d) 45 sq cm
  10. 10.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 54 sq cm (c) 27 sq cm (d) 180 sq cm
  11. 11.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
  12. 12.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 2 cm (c) 5 cm (d) 3 cm
  13. 13.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 136 cm
  14. 14.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 24 cm (c) 154 cm (d) 12 cm
  15. 15.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
  16. 16.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 26 cm (c) 21 cm (d) 13 cm
  17. 17.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
  18. 18.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
  19. 19.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 11 cm (c) 20 cm (d) 10 cm
  20. 20.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 110 sq cm (c) 40 sq cm (d) 20 sq cm
  21. 21.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 119 cm (c) 16 cm (d) 9 cm
  22. 22.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 42 cm (c) 44 cm (d) 22 cm
  23. 23.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 190 sq cm (b) 58 sq cm (c) 209 sq cm (d) 29 sq cm
  24. 24.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 15 sq cm (d) 48 sq cm
  25. 25.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 64 cm (c) 6 cm (d) 10 cm
  26. 26.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 28 sq cm (d) 196 sq cm
  27. 27.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 54 sq cm (d) 63 sq cm
  28. 28.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 8 cm (c) 114 cm (d) 14 cm
  29. 29.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 7 cm (c) 84 cm (d) 14 cm
  30. 30.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 72 cm (b) 7 cm (c) 14 cm (d) 8 cm
  31. 31.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 95 cm (b) 24 cm (c) 43 cm (d) 48 cm
  32. 32.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
  33. 33.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 3 cm (c) 2 cm (d) 4 cm
  34. 34.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 54 sq cm (c) 45 sq cm (d) 14 sq cm
  35. 35.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 38 sq cm (c) 21 sq cm (d) 57 sq cm
  36. 36.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 36 sq cm (c) 45 sq cm (d) 18 sq cm
  37. 37.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 24 cm (c) 143 cm (d) 12 cm
  38. 38.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 36 sq cm (d) 30 sq cm
  39. 39.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 18 cm (c) 20 cm (d) 11 cm
  40. 40.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 13 cm (c) 26 cm (d) 23 cm

Answer key

  1. 50 sq cm
  2. 36 sq cm
  3. 24 cm
  4. 64 sq cm
  5. 30 cm
  6. 20 cm
  7. 35 sq cm
  8. 44 sq cm
  9. 36 sq cm
  10. 180 sq cm
  11. 81 sq cm
  12. 2 cm
  13. 9 cm
  14. 12 cm
  15. 121 sq cm
  16. 26 cm
  17. 49 sq cm
  18. 25 sq cm
  19. 10 cm
  20. 99 sq cm
  21. 8 cm
  22. 44 cm
  23. 190 sq cm
  24. 36 sq cm
  25. 5 cm
  26. 196 sq cm
  27. 54 sq cm
  28. 7 cm
  29. 7 cm
  30. 7 cm
  31. 48 cm
  32. 169 sq cm
  33. 2 cm
  34. 45 sq cm
  35. 38 sq cm
  36. 45 sq cm
  37. 12 cm
  38. 30 sq cm
  39. 22 cm
  40. 26 cm

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