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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 309 · 40 sums
TalentJR

The method (Around or inside): Perimeter of a regular shape = number of sides × side. Rectangle: 2 × (length + width). Area of a rectangle = length × width; square = side × side. Cost of fencing = perimeter × rate per metre; cost of painting = area × rate per square metre. Cut-out shape: area of the big rectangle − area of the part cut out.

NameDateTime takenScore ___ / 40
  1. 1.From a rectangle 20 cm long and 10 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.From a rectangle 9 cm long and 9 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.The perimeter of a rectangle is 62 cm and its length is 26 cm. What is its width (in cm)?
  5. 5.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  6. 6.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  7. 7.Each side of a square is 2 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 20 cm. What is its area (in square cm)?
  9. 9.A square has a perimeter of 80 cm. What is its area (in square cm)?
  10. 10.A square has a perimeter of 8 cm. What is its area (in square cm)?
  11. 11.A wall is 6 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.From a rectangle 18 cm long and 14 cm wide, a rectangle 9 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A wall is 10 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.From a rectangle 12 cm long and 13 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.From a rectangle 16 cm long and 6 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.Each side of a square is 22 cm. What is its perimeter (in cm)?
  19. 19.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  20. 20.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  21. 21.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  22. 22.A square has a perimeter of 72 cm. What is its area (in square cm)?
  23. 23.The perimeter of a rectangle is 68 cm and its length is 22 cm. What is its width (in cm)?
  24. 24.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  25. 25.A wall is 4 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 68 cm and its length is 30 cm. What is its width (in cm)?
  28. 28.A wall is 12 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A wall is 5 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
  32. 32.A wall is 3 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  34. 34.From a rectangle 10 cm long and 15 cm wide, a rectangle 8 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  36. 36.A wall is 5 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A square has a perimeter of 56 cm. What is its area (in square cm)?
  38. 38.A rectangular field is 80 m long and 45 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A square has a perimeter of 16 cm. What is its area (in square cm)?
  40. 40.A wall is 5 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 196
  2. 69
  3. 770
  4. 5
  5. 12
  6. 36
  7. 8
  8. 25
  9. 400
  10. 4
  11. 180
  12. 3990
  13. 162
  14. 700
  15. 148
  16. 3300
  17. 48
  18. 88
  19. 2
  20. 120
  21. 72
  22. 324
  23. 12
  24. 70
  25. 840
  26. 32
  27. 4
  28. 2400
  29. 4200
  30. 1500
  31. 80
  32. 450
  33. 75
  34. 78
  35. 18
  36. 350
  37. 196
  38. 2750
  39. 16
  40. 800

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