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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 307 · 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 16 cm long and 14 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.A wall is 3 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.From a rectangle 13 cm long and 15 cm wide, a rectangle 10 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.A wall is 10 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A wall is 3 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.From a rectangle 11 cm long and 6 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.From a rectangle 8 cm long and 6 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.From a rectangle 11 cm long and 10 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A wall is 8 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  14. 14.A square has a perimeter of 76 cm. What is its area (in square cm)?
  15. 15.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.From a rectangle 12 cm long and 6 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  18. 18.From a rectangle 17 cm long and 10 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.The perimeter of a rectangle is 54 cm and its length is 20 cm. What is its width (in cm)?
  21. 21.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A wall is 7 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.From a rectangle 10 cm long and 8 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.The perimeter of a rectangle is 94 cm and its length is 28 cm. What is its width (in cm)?
  25. 25.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  26. 26.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.Each side of a square is 14 cm. What is its perimeter (in cm)?
  29. 29.Each side of a square is 3 cm. What is its perimeter (in cm)?
  30. 30.A wall is 12 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A wall is 7 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.From a rectangle 6 cm long and 11 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A square has a perimeter of 16 cm. What is its area (in square cm)?
  35. 35.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  36. 36.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A wall is 7 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.From a rectangle 14 cm long and 11 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A square has a perimeter of 24 cm. What is its area (in square cm)?

Answer key

  1. 196
  2. 300
  3. 155
  4. 1800
  5. 120
  6. 60
  7. 600
  8. 45
  9. 78
  10. 6200
  11. 240
  12. 1450
  13. 5
  14. 361
  15. 1040
  16. 62
  17. 15
  18. 162
  19. 3300
  20. 7
  21. 980
  22. 735
  23. 71
  24. 19
  25. 72
  26. 48
  27. 1260
  28. 56
  29. 12
  30. 360
  31. 420
  32. 5000
  33. 54
  34. 16
  35. 69
  36. 480
  37. 350
  38. 1500
  39. 143
  40. 36

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