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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 710 · 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 16 cm. What is its area (in square cm)?
  2. 2.The perimeter of a rectangle is 78 cm and its length is 27 cm. What is its width (in cm)?
  3. 3.A square has a perimeter of 56 cm. What is its area (in square cm)?
  4. 4.The perimeter of a rectangle is 68 cm and its length is 19 cm. What is its width (in cm)?
  5. 5.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.From a rectangle 16 cm long and 13 cm wide, a rectangle 14 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A square has a perimeter of 36 cm. What is its area (in square cm)?
  8. 8.A rectangular field is 100 m long and 85 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.The perimeter of a rectangle is 96 cm and its length is 25 cm. What is its width (in cm)?
  10. 10.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  11. 11.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.The perimeter of a rectangle is 58 cm and its length is 20 cm. What is its width (in cm)?
  13. 13.From a rectangle 8 cm long and 9 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A wall is 12 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A wall is 12 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.From a rectangle 15 cm long and 11 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.From a rectangle 6 cm long and 7 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)?
  20. 20.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A wall is 8 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A square has a perimeter of 8 cm. What is its area (in square cm)?
  23. 23.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
  24. 24.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.The perimeter of a rectangle is 38 cm and its length is 10 cm. What is its width (in cm)?
  26. 26.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 ₹)?
  27. 27.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 15 cm long and 12 cm wide, a rectangle 10 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.From a rectangle 15 cm long and 5 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  31. 31.The perimeter of a rectangle is 56 cm and its length is 22 cm. What is its width (in cm)?
  32. 32.Each side of a square is 13 cm. What is its perimeter (in cm)?
  33. 33.A square has a perimeter of 12 cm. What is its area (in square cm)?
  34. 34.A wall is 4 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A wall is 12 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  37. 37.A square has a perimeter of 40 cm. What is its area (in square cm)?
  38. 38.A wall is 5 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A rectangular field is 80 m long and 50 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 16
  2. 12
  3. 196
  4. 15
  5. 1170
  6. 194
  7. 81
  8. 8140
  9. 23
  10. 25
  11. 2800
  12. 9
  13. 57
  14. 2520
  15. 2560
  16. 2420
  17. 720
  18. 123
  19. 32
  20. 910
  21. 800
  22. 4
  23. 6
  24. 2400
  25. 9
  26. 1400
  27. 27
  28. 100
  29. 61
  30. 32
  31. 6
  32. 52
  33. 9
  34. 600
  35. 720
  36. 72
  37. 100
  38. 450
  39. 1470
  40. 3380

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