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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 670 · 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 80 cm. What is its area (in square cm)?
  2. 2.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
  3. 3.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A wall is 6 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.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 ₹)?
  7. 7.A wall is 3 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.Each side of a square is 7 cm. What is its perimeter (in cm)?
  9. 9.From a rectangle 7 cm long and 15 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.The perimeter of a rectangle is 60 cm and its length is 28 cm. What is its width (in cm)?
  11. 11.A wall is 7 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A wall is 5 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.From a rectangle 17 cm long and 15 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)?
  16. 16.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  17. 17.A square has a perimeter of 56 cm. What is its area (in square cm)?
  18. 18.From a rectangle 12 cm long and 11 cm wide, a rectangle 7 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A square has a perimeter of 40 cm. What is its area (in square cm)?
  21. 21.From a rectangle 11 cm long and 11 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.The perimeter of a rectangle is 60 cm and its length is 16 cm. What is its width (in cm)?
  23. 23.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  24. 24.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 20 cm long and 7 cm wide, a rectangle 15 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.From a rectangle 6 cm long and 14 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)?
  28. 28.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  29. 29.A square has a perimeter of 68 cm. What is its area (in square cm)?
  30. 30.A square has a perimeter of 76 cm. What is its area (in square cm)?
  31. 31.A square has a perimeter of 32 cm. What is its area (in square cm)?
  32. 32.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 ₹)?
  33. 33.The perimeter of a rectangle is 58 cm and its length is 18 cm. What is its width (in cm)?
  34. 34.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 ₹)?
  35. 35.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.From a rectangle 15 cm long and 5 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)?
  37. 37.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  38. 38.A square has a perimeter of 48 cm. What is its area (in square cm)?
  39. 39.From a rectangle 8 cm long and 7 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 400
  2. 8
  3. 2400
  4. 1500
  5. 1650
  6. 1080
  7. 375
  8. 28
  9. 73
  10. 2
  11. 700
  12. 104
  13. 5280
  14. 100
  15. 234
  16. 39
  17. 196
  18. 69
  19. 2450
  20. 100
  21. 116
  22. 14
  23. 16
  24. 1600
  25. 80
  26. 80
  27. 81
  28. 4
  29. 289
  30. 361
  31. 64
  32. 3600
  33. 11
  34. 350
  35. 5610
  36. 54
  37. 45
  38. 144
  39. 31
  40. 1400

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