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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 368 · 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.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
  2. 2.From a rectangle 9 cm long and 15 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)?
  3. 3.A square has a perimeter of 56 cm. What is its area (in square cm)?
  4. 4.A wall is 4 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
  6. 6.Each side of a square is 14 cm. What is its perimeter (in cm)?
  7. 7.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A square has a perimeter of 8 cm. What is its area (in square cm)?
  9. 9.A square has a perimeter of 28 cm. What is its area (in square cm)?
  10. 10.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.From a rectangle 13 cm long and 6 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.The perimeter of a rectangle is 58 cm and its length is 25 cm. What is its width (in cm)?
  14. 14.A rectangular field is 85 m long and 65 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of a square is 23 cm. What is its perimeter (in cm)?
  16. 16.From a rectangle 18 cm long and 5 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A wall is 7 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.From a rectangle 17 cm long and 9 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)?
  19. 19.A wall is 10 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  21. 21.A wall is 10 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.The perimeter of a rectangle is 36 cm and its length is 15 cm. What is its width (in cm)?
  23. 23.The perimeter of a rectangle is 52 cm and its length is 17 cm. What is its width (in cm)?
  24. 24.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  25. 25.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.From a rectangle 10 cm long and 10 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  29. 29.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  30. 30.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A wall is 3 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.From a rectangle 19 cm long and 9 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.From a rectangle 18 cm long and 11 cm wide, a rectangle 14 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a rectangle is 44 cm and its length is 19 cm. What is its width (in cm)?
  37. 37.A wall is 4 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A rectangular field is 45 m long and 15 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 64 cm and its length is 25 cm. What is its width (in cm)?
  40. 40.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 75
  2. 134
  3. 196
  4. 320
  5. 24
  6. 56
  7. 720
  8. 4
  9. 49
  10. 4140
  11. 70
  12. 960
  13. 4
  14. 7500
  15. 92
  16. 63
  17. 1890
  18. 118
  19. 1000
  20. 45
  21. 750
  22. 3
  23. 9
  24. 54
  25. 115
  26. 3600
  27. 98
  28. 32
  29. 33
  30. 2530
  31. 300
  32. 1400
  33. 161
  34. 86
  35. 66
  36. 3
  37. 400
  38. 1080
  39. 7
  40. 1540

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