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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 711 · 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 3 cm wide. What is its area? (a) 36 sq cm (b) 27 sq cm (c) 12 sq cm (d) 24 sq cm
  2. 2.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 12 cm (c) 3 cm (d) 2 cm
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  4. 4.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 3 cm (c) 7 cm (d) 2 cm
  5. 5.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 54 cm (c) 14 cm (d) 8 cm
  6. 6.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
  7. 7.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 27 sq cm (d) 18 sq cm
  8. 8.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 2 cm
  9. 9.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 98 sq cm (c) 21 sq cm (d) 42 sq cm
  10. 10.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 10 cm (c) 18 cm (d) 9 cm
  11. 11.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 10 cm (c) 48 cm (d) 5 cm
  12. 12.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 9 cm (c) 105 cm (d) 8 cm
  13. 13.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 40 cm (c) 20 cm (d) 84 cm
  14. 14.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 14 sq cm (c) 28 sq cm (d) 48 sq cm
  15. 15.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 72 cm (c) 6 cm (d) 5 cm
  16. 16.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  17. 17.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
  18. 18.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 10 sq cm (d) 25 sq cm
  19. 19.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 68 cm (c) 38 cm (d) 42 cm
  20. 20.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 228 sq cm (b) 60 sq cm (c) 209 sq cm (d) 30 sq cm
  21. 21.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 198 cm (c) 12 cm (d) 13 cm
  22. 22.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 10 cm (c) 20 cm (d) 17 cm
  23. 23.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
  24. 24.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 165 cm (c) 12 cm (d) 24 cm
  25. 25.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 44 sq cm (b) 112 sq cm (c) 96 sq cm (d) 22 sq cm
  26. 26.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 36 cm
  27. 27.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 30 sq cm (d) 20 sq cm
  28. 28.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 9 cm (c) 14 cm (d) 18 cm
  29. 29.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 70 cm (c) 17 cm (d) 34 cm
  30. 30.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 54 sq cm (c) 40 sq cm (d) 36 sq cm
  31. 31.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 56 sq cm (c) 28 sq cm (d) 160 sq cm
  32. 32.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
  33. 33.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 96 cm (d) 40 cm
  34. 34.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 43 cm (b) 54 cm (c) 176 cm (d) 27 cm
  35. 35.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 136 sq cm (b) 119 sq cm (c) 24 sq cm (d) 48 sq cm
  36. 36.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 40 cm (b) 150 cm (c) 25 cm (d) 50 cm
  37. 37.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 35 cm (b) 21 cm (c) 98 cm (d) 42 cm
  38. 38.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 12 cm (c) 24 cm (d) 20 cm
  39. 39.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 10 cm
  40. 40.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm

Answer key

  1. 27 sq cm
  2. 2 cm
  3. 49 sq cm
  4. 2 cm
  5. 7 cm
  6. 72 sq cm
  7. 18 sq cm
  8. 2 cm
  9. 98 sq cm
  10. 9 cm
  11. 5 cm
  12. 8 cm
  13. 40 cm
  14. 48 sq cm
  15. 5 cm
  16. 36 sq cm
  17. 169 sq cm
  18. 25 sq cm
  19. 42 cm
  20. 209 sq cm
  21. 12 cm
  22. 20 cm
  23. 35 sq cm
  24. 12 cm
  25. 96 sq cm
  26. 3 cm
  27. 24 sq cm
  28. 18 cm
  29. 34 cm
  30. 36 sq cm
  31. 160 sq cm
  32. 64 sq cm
  33. 40 cm
  34. 54 cm
  35. 119 sq cm
  36. 50 cm
  37. 42 cm
  38. 24 cm
  39. 3 cm
  40. 100 sq cm

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