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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 326 · 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 18 cm long and 13 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  3. 3.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 ₹)?
  4. 4.A square has a perimeter of 36 cm. What is its area (in square cm)?
  5. 5.From a rectangle 13 cm long and 8 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A wall is 4 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A square has a perimeter of 56 cm. What is its area (in square cm)?
  8. 8.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  9. 9.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  10. 10.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A square has a perimeter of 40 cm. What is its area (in square cm)?
  12. 12.A wall is 4 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A square has a perimeter of 68 cm. What is its area (in square cm)?
  14. 14.A wall is 8 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.The perimeter of a rectangle is 54 cm and its length is 15 cm. What is its width (in cm)?
  16. 16.A square has a perimeter of 60 cm. What is its area (in square cm)?
  17. 17.Each side of a square is 12 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 46 cm and its length is 16 cm. What is its width (in cm)?
  19. 19.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  20. 20.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  21. 21.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  22. 22.A square has a perimeter of 12 cm. What is its area (in square cm)?
  23. 23.A square has a perimeter of 8 cm. What is its area (in square cm)?
  24. 24.A wall is 7 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A wall is 11 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  27. 27.From a rectangle 13 cm long and 7 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.From a rectangle 12 cm long and 13 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A wall is 11 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A wall is 8 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.The perimeter of a rectangle is 34 cm and its length is 14 cm. What is its width (in cm)?
  33. 33.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of a square is 5 cm. What is its perimeter (in cm)?
  35. 35.A wall is 3 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A wall is 8 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
  38. 38.From a rectangle 6 cm long and 7 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.From a rectangle 13 cm long and 15 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.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?

Answer key

  1. 221
  2. 3
  3. 180
  4. 81
  5. 83
  6. 640
  7. 196
  8. 200
  9. 54
  10. 5670
  11. 100
  12. 800
  13. 289
  14. 720
  15. 12
  16. 225
  17. 48
  18. 7
  19. 24
  20. 45
  21. 2
  22. 9
  23. 4
  24. 210
  25. 660
  26. 2
  27. 90
  28. 146
  29. 2640
  30. 1600
  31. 5040
  32. 3
  33. 3060
  34. 20
  35. 150
  36. 960
  37. 7
  38. 40
  39. 184
  40. 56

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