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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 239 · 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 square has a perimeter of 12 cm. What is its area (in square cm)?
  2. 2.From a rectangle 13 cm long and 6 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A wall is 7 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.From a rectangle 13 cm long and 11 cm wide, a rectangle 11 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.From a rectangle 19 cm long and 14 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.From a rectangle 9 cm long and 6 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)?
  7. 7.A wall is 12 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  9. 9.A wall is 8 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A wall is 7 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A wall is 4 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
  13. 13.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  14. 14.From a rectangle 8 cm long and 12 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  16. 16.A wall is 6 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A square has a perimeter of 80 cm. What is its area (in square cm)?
  18. 18.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  19. 19.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  21. 21.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 ₹)?
  22. 22.From a rectangle 18 cm long and 8 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.From a rectangle 8 cm long and 7 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A square has a perimeter of 48 cm. What is its area (in square cm)?
  25. 25.Each side of a square is 10 cm. What is its perimeter (in cm)?
  26. 26.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  28. 28.A square has a perimeter of 28 cm. What is its area (in square cm)?
  29. 29.Each side of a square is 14 cm. What is its perimeter (in cm)?
  30. 30.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A wall is 4 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A wall is 5 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A square has a perimeter of 36 cm. What is its area (in square cm)?
  37. 37.A wall is 8 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.From a rectangle 13 cm long and 6 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  40. 40.A square has a perimeter of 56 cm. What is its area (in square cm)?

Answer key

  1. 9
  2. 75
  3. 1575
  4. 77
  5. 248
  6. 26
  7. 3600
  8. 5
  9. 1800
  10. 140
  11. 480
  12. 2
  13. 56
  14. 61
  15. 192
  16. 360
  17. 400
  18. 9
  19. 4410
  20. 21
  21. 350
  22. 139
  23. 48
  24. 144
  25. 40
  26. 60
  27. 3
  28. 49
  29. 56
  30. 45
  31. 4200
  32. 1080
  33. 1260
  34. 1000
  35. 2640
  36. 81
  37. 1400
  38. 48
  39. 7
  40. 196

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