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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 634 · 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.The perimeter of a rectangle is 56 cm and its length is 20 cm. What is its width (in cm)?
  2. 2.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  3. 3.A square has a perimeter of 68 cm. What is its area (in square cm)?
  4. 4.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
  5. 5.A wall is 8 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.From a rectangle 17 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)?
  7. 7.From a rectangle 15 cm long and 7 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.From a rectangle 9 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)?
  9. 9.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  10. 10.The perimeter of a rectangle is 58 cm and its length is 24 cm. What is its width (in cm)?
  11. 11.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  12. 12.A wall is 11 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A square has a perimeter of 56 cm. What is its area (in square cm)?
  14. 14.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.The perimeter of a rectangle is 32 cm and its length is 13 cm. What is its width (in cm)?
  16. 16.A square has a perimeter of 80 cm. What is its area (in square cm)?
  17. 17.A wall is 12 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A square has a perimeter of 40 cm. What is its area (in square cm)?
  20. 20.From a rectangle 12 cm long and 9 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)?
  21. 21.A wall is 9 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  23. 23.Each side of a square is 23 cm. What is its perimeter (in cm)?
  24. 24.The perimeter of a rectangle is 102 cm and its length is 26 cm. What is its width (in cm)?
  25. 25.From a rectangle 20 cm long and 8 cm wide, a rectangle 15 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.From a rectangle 7 cm long and 14 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.Each side of a square is 24 cm. What is its perimeter (in cm)?
  29. 29.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
  31. 31.A square has a perimeter of 72 cm. What is its area (in square cm)?
  32. 32.A square has a perimeter of 48 cm. What is its area (in square cm)?
  33. 33.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  34. 34.A wall is 10 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A square has a perimeter of 16 cm. What is its area (in square cm)?
  36. 36.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  37. 37.A square has a perimeter of 12 cm. What is its area (in square cm)?
  38. 38.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  39. 39.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A wall is 8 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 8
  2. 50
  3. 289
  4. 7
  5. 800
  6. 98
  7. 101
  8. 46
  9. 42
  10. 5
  11. 16
  12. 660
  13. 196
  14. 1280
  15. 3
  16. 400
  17. 1440
  18. 2640
  19. 100
  20. 83
  21. 180
  22. 21
  23. 92
  24. 25
  25. 145
  26. 86
  27. 2310
  28. 96
  29. 270
  30. 13
  31. 324
  32. 144
  33. 63
  34. 600
  35. 16
  36. 90
  37. 9
  38. 70
  39. 600
  40. 2400

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