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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 119 · 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.A wall is 10 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A square has a perimeter of 8 cm. What is its area (in square cm)?
  3. 3.Each side of a square is 8 cm. What is its perimeter (in cm)?
  4. 4.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A wall is 6 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.From a rectangle 17 cm long and 7 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A wall is 7 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A square has a perimeter of 12 cm. What is its area (in square cm)?
  9. 9.The perimeter of a rectangle is 104 cm and its length is 29 cm. What is its width (in cm)?
  10. 10.A rectangular field is 90 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.The perimeter of a rectangle is 40 cm and its length is 14 cm. What is its width (in cm)?
  12. 12.A square has a perimeter of 80 cm. What is its area (in square cm)?
  13. 13.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
  14. 14.From a rectangle 16 cm long and 14 cm wide, a rectangle 13 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.A wall is 3 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.The perimeter of a rectangle is 52 cm and its length is 16 cm. What is its width (in cm)?
  17. 17.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  18. 18.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 10 cm long and 10 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A rectangular field is 95 m long and 65 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A wall is 10 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A square has a perimeter of 20 cm. What is its area (in square cm)?
  23. 23.A wall is 9 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A wall is 9 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.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 ₹)?
  27. 27.The perimeter of a rectangle is 46 cm and its length is 13 cm. What is its width (in cm)?
  28. 28.A square has a perimeter of 72 cm. What is its area (in square cm)?
  29. 29.The perimeter of a rectangle is 42 cm and its length is 18 cm. What is its width (in cm)?
  30. 30.A square has a perimeter of 76 cm. What is its area (in square cm)?
  31. 31.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 16 cm long and 7 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.From a rectangle 19 cm long and 14 cm wide, a rectangle 11 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 13 cm long and 15 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)?
  37. 37.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A wall is 3 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?

Answer key

  1. 1400
  2. 4
  3. 32
  4. 1500
  5. 480
  6. 99
  7. 490
  8. 9
  9. 23
  10. 3200
  11. 6
  12. 400
  13. 11
  14. 185
  15. 90
  16. 10
  17. 2
  18. 200
  19. 82
  20. 1920
  21. 1000
  22. 25
  23. 1440
  24. 1840
  25. 630
  26. 840
  27. 10
  28. 324
  29. 3
  30. 361
  31. 5040
  32. 150
  33. 57
  34. 189
  35. 54
  36. 187
  37. 4080
  38. 4800
  39. 180
  40. 48

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