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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 917 · 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 4 cm wide. What is its perimeter? (a) 24 cm (b) 28 cm (c) 14 cm (d) 40 cm
  2. 2.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 21 sq cm (c) 42 sq cm (d) 112 sq cm
  3. 3.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 48 cm
  4. 4.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 13 cm (c) 143 cm (d) 12 cm
  5. 5.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 30 cm (d) 22 cm
  6. 6.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
  7. 7.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 33 sq cm (c) 13 sq cm (d) 22 sq cm
  8. 8.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 12 sq cm (d) 30 sq cm
  9. 9.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 34 cm (c) 17 cm (d) 26 cm
  10. 10.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 18 cm (d) 10 cm
  11. 11.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 136 sq cm (c) 25 sq cm (d) 153 sq cm
  12. 12.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 40 sq cm (c) 28 sq cm (d) 50 sq cm
  13. 13.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 36 cm (c) 6 cm (d) 4 cm
  14. 14.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 32 sq cm (d) 24 sq cm
  15. 15.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 9 sq cm (d) 18 sq cm
  16. 16.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  17. 17.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 14 cm (c) 25 cm (d) 28 cm
  18. 18.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 25 cm (c) 50 cm (d) 15 cm
  19. 19.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 12 cm
  20. 20.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 12 sq cm (c) 8 sq cm (d) 18 sq cm
  21. 21.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 28 cm (c) 6 cm (d) 5 cm
  22. 22.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 22 cm (d) 36 cm
  23. 23.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 8 cm (c) 5 cm (d) 4 cm
  24. 24.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
  25. 25.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 10 cm (c) 32 cm (d) 6 cm
  26. 26.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 16 sq cm (d) 81 sq cm
  27. 27.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 29 sq cm (b) 190 sq cm (c) 58 sq cm (d) 209 sq cm
  28. 28.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
  29. 29.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 60 cm (c) 14 cm (d) 7 cm
  30. 30.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
  31. 31.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 64 cm
  32. 32.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 39 cm (b) 135 cm (c) 24 cm (d) 48 cm
  33. 33.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 17 cm (b) 3 cm (c) 2 cm (d) 4 cm
  34. 34.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  35. 35.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 17 sq cm (c) 34 sq cm (d) 66 sq cm
  36. 36.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 8 cm (b) 4 cm (c) 18 cm (d) 5 cm
  37. 37.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 10 cm (c) 36 cm (d) 5 cm
  38. 38.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 50 sq cm (c) 15 sq cm (d) 30 sq cm
  39. 39.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 72 sq cm (d) 81 sq cm
  40. 40.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 12 sq cm (d) 40 sq cm

Answer key

  1. 28 cm
  2. 98 sq cm
  3. 4 cm
  4. 12 cm
  5. 22 cm
  6. 225 sq cm
  7. 22 sq cm
  8. 20 sq cm
  9. 34 cm
  10. 20 cm
  11. 136 sq cm
  12. 40 sq cm
  13. 3 cm
  14. 24 sq cm
  15. 14 sq cm
  16. 25 sq cm
  17. 28 cm
  18. 30 cm
  19. 3 cm
  20. 12 sq cm
  21. 5 cm
  22. 26 cm
  23. 4 cm
  24. 168 sq cm
  25. 5 cm
  26. 64 sq cm
  27. 190 sq cm
  28. 49 sq cm
  29. 7 cm
  30. 36 sq cm
  31. 5 cm
  32. 48 cm
  33. 2 cm
  34. 144 sq cm
  35. 66 sq cm
  36. 4 cm
  37. 5 cm
  38. 50 sq cm
  39. 72 sq cm
  40. 32 sq cm

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