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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 387 · 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 48 cm. What is its area (in square cm)?
  2. 2.From a rectangle 8 cm long and 5 cm wide, a rectangle 6 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 28 cm. What is its area (in square cm)?
  4. 4.A wall is 5 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.The perimeter of a rectangle is 68 cm and its length is 25 cm. What is its width (in cm)?
  6. 6.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A wall is 8 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A square has a perimeter of 80 cm. What is its area (in square cm)?
  10. 10.A square has a perimeter of 64 cm. What is its area (in square cm)?
  11. 11.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  12. 12.A wall is 6 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  15. 15.A square has a perimeter of 36 cm. What is its area (in square cm)?
  16. 16.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.The perimeter of a rectangle is 44 cm and its length is 16 cm. What is its width (in cm)?
  18. 18.A square has a perimeter of 12 cm. What is its area (in square cm)?
  19. 19.From a rectangle 18 cm long and 15 cm wide, a rectangle 9 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A square has a perimeter of 68 cm. What is its area (in square cm)?
  21. 21.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
  22. 22.A wall is 5 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A square has a perimeter of 40 cm. What is its area (in square cm)?
  25. 25.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  26. 26.A wall is 4 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.From a rectangle 8 cm long and 7 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)?
  28. 28.From a rectangle 6 cm long and 11 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)?
  29. 29.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A wall is 3 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  32. 32.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  33. 33.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  34. 34.From a rectangle 8 cm long and 7 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)?
  35. 35.From a rectangle 9 cm long and 14 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A wall is 7 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.From a rectangle 15 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)?
  38. 38.Each side of a square is 8 cm. What is its perimeter (in cm)?
  39. 39.A square has a perimeter of 16 cm. What is its area (in square cm)?
  40. 40.From a rectangle 12 cm long and 15 cm wide, a rectangle 8 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 144
  2. 34
  3. 49
  4. 200
  5. 9
  6. 1440
  7. 900
  8. 960
  9. 400
  10. 256
  11. 6
  12. 1080
  13. 1100
  14. 144
  15. 81
  16. 1200
  17. 6
  18. 9
  19. 216
  20. 289
  21. 3
  22. 750
  23. 960
  24. 100
  25. 21
  26. 800
  27. 54
  28. 64
  29. 3750
  30. 120
  31. 54
  32. 39
  33. 48
  34. 47
  35. 121
  36. 1050
  37. 95
  38. 32
  39. 16
  40. 100

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