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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 496 · 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 5 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.The perimeter of a rectangle is 74 cm and its length is 19 cm. What is its width (in cm)?
  3. 3.The perimeter of a rectangle is 66 cm and its length is 20 cm. What is its width (in cm)?
  4. 4.A square has a perimeter of 56 cm. What is its area (in square cm)?
  5. 5.A square has a perimeter of 32 cm. What is its area (in square cm)?
  6. 6.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  7. 7.A wall is 5 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A square has a perimeter of 28 cm. What is its area (in square cm)?
  9. 9.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  10. 10.A wall is 5 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A square has a perimeter of 24 cm. What is its area (in square cm)?
  12. 12.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.The perimeter of a rectangle is 102 cm and its length is 28 cm. What is its width (in cm)?
  14. 14.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 ₹)?
  15. 15.A square has a perimeter of 80 cm. What is its area (in square cm)?
  16. 16.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
  17. 17.A rectangular field is 100 m long and 45 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  19. 19.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  20. 20.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.From a rectangle 13 cm long and 8 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.From a rectangle 19 cm long and 7 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A wall is 10 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
  30. 30.A wall is 5 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.From a rectangle 10 cm long and 6 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A wall is 5 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  36. 36.A wall is 6 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.The perimeter of a rectangle is 78 cm and its length is 28 cm. What is its width (in cm)?
  39. 39.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A wall is 6 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 450
  2. 18
  3. 13
  4. 196
  5. 64
  6. 35
  7. 400
  8. 49
  9. 63
  10. 300
  11. 36
  12. 4370
  13. 23
  14. 375
  15. 400
  16. 6
  17. 3190
  18. 2
  19. 33
  20. 2760
  21. 88
  22. 1260
  23. 130
  24. 700
  25. 168
  26. 3120
  27. 126
  28. 7400
  29. 5
  30. 1500
  31. 2880
  32. 56
  33. 375
  34. 1610
  35. 5
  36. 540
  37. 1120
  38. 11
  39. 990
  40. 420

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