← 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 463 · 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 20 cm long and 9 cm wide, a rectangle 18 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
  3. 3.Each side of a square is 9 cm. What is its perimeter (in cm)?
  4. 4.The perimeter of a rectangle is 58 cm and its length is 23 cm. What is its width (in cm)?
  5. 5.A square has a perimeter of 24 cm. What is its area (in square cm)?
  6. 6.A wall is 4 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A wall is 11 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A wall is 6 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
  10. 10.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  12. 12.From a rectangle 9 cm long and 14 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.From a rectangle 10 cm long and 13 cm wide, a rectangle 6 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.Each side of a square is 7 cm. What is its perimeter (in cm)?
  15. 15.The perimeter of a rectangle is 66 cm and its length is 30 cm. What is its width (in cm)?
  16. 16.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a rectangle is 34 cm and its length is 13 cm. What is its width (in cm)?
  18. 18.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.The perimeter of a rectangle is 32 cm and its length is 11 cm. What is its width (in cm)?
  20. 20.The perimeter of a rectangle is 72 cm and its length is 26 cm. What is its width (in cm)?
  21. 21.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  22. 22.A square has a perimeter of 36 cm. What is its area (in square cm)?
  23. 23.A square has a perimeter of 12 cm. What is its area (in square cm)?
  24. 24.From a rectangle 20 cm long and 5 cm wide, a rectangle 14 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a square is 25 cm. What is its perimeter (in cm)?
  27. 27.A wall is 5 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A wall is 5 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.The perimeter of a rectangle is 62 cm and its length is 24 cm. What is its width (in cm)?
  30. 30.From a rectangle 18 cm long and 10 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)?
  31. 31.The perimeter of a rectangle is 76 cm and its length is 21 cm. What is its width (in cm)?
  32. 32.A wall is 4 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.The perimeter of a rectangle is 52 cm and its length is 21 cm. What is its width (in cm)?
  34. 34.A square has a perimeter of 64 cm. What is its area (in square cm)?
  35. 35.From a rectangle 6 cm long and 6 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)?
  36. 36.The perimeter of a rectangle is 68 cm and its length is 18 cm. What is its width (in cm)?
  37. 37.The perimeter of a rectangle is 118 cm and its length is 30 cm. What is its width (in cm)?
  38. 38.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 ₹)?
  39. 39.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  40. 40.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?

Answer key

  1. 126
  2. 100
  3. 36
  4. 6
  5. 36
  6. 300
  7. 990
  8. 840
  9. 114
  10. 3360
  11. 78
  12. 91
  13. 64
  14. 28
  15. 3
  16. 51
  17. 4
  18. 2100
  19. 5
  20. 10
  21. 63
  22. 81
  23. 9
  24. 72
  25. 4500
  26. 100
  27. 400
  28. 500
  29. 7
  30. 178
  31. 17
  32. 400
  33. 5
  34. 256
  35. 27
  36. 16
  37. 29
  38. 630
  39. 5
  40. 72

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