← Perimeter and area: fencing, painting and cut-outs lesson New set →

Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 197 · 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 3 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  3. 3.From a rectangle 11 cm long and 11 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.A square has a perimeter of 80 cm. What is its area (in square cm)?
  5. 5.From a rectangle 19 cm long and 6 cm wide, a rectangle 16 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A square has a perimeter of 40 cm. What is its area (in square cm)?
  7. 7.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
  8. 8.From a rectangle 18 cm long and 11 cm wide, a rectangle 12 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  10. 10.Each side of a square is 5 cm. What is its perimeter (in cm)?
  11. 11.From a rectangle 10 cm long and 12 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.The perimeter of a rectangle is 92 cm and its length is 27 cm. What is its width (in cm)?
  13. 13.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  14. 14.The perimeter of a rectangle is 60 cm and its length is 22 cm. What is its width (in cm)?
  15. 15.A wall is 4 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A wall is 10 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.From a rectangle 18 cm long and 7 cm wide, a rectangle 12 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.A square has a perimeter of 76 cm. What is its area (in square cm)?
  19. 19.A square has a perimeter of 48 cm. What is its area (in square cm)?
  20. 20.The perimeter of a rectangle is 58 cm and its length is 22 cm. What is its width (in cm)?
  21. 21.A wall is 4 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A wall is 9 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  24. 24.A square has a perimeter of 72 cm. What is its area (in square cm)?
  25. 25.A wall is 11 m long and 2 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 54 cm and its length is 15 cm. What is its width (in cm)?
  27. 27.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  28. 28.The perimeter of a rectangle is 86 cm and its length is 23 cm. What is its width (in cm)?
  29. 29.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  31. 31.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  32. 32.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
  33. 33.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  34. 34.From a rectangle 10 cm long and 9 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.From a rectangle 6 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)?
  37. 37.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A wall is 9 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A wall is 4 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.From a rectangle 11 cm long and 9 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)?

Answer key

  1. 270
  2. 27
  3. 81
  4. 400
  5. 98
  6. 100
  7. 114
  8. 102
  9. 90
  10. 20
  11. 102
  12. 19
  13. 60
  14. 8
  15. 360
  16. 500
  17. 66
  18. 361
  19. 144
  20. 7
  21. 1000
  22. 1215
  23. 6
  24. 324
  25. 440
  26. 12
  27. 51
  28. 20
  29. 630
  30. 144
  31. 4
  32. 184
  33. 63
  34. 69
  35. 720
  36. 52
  37. 180
  38. 810
  39. 300
  40. 79

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets