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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 290 · 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 64 cm and its length is 30 cm. What is its width (in cm)?
  2. 2.The perimeter of a rectangle is 66 cm and its length is 17 cm. What is its width (in cm)?
  3. 3.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
  4. 4.A square has a perimeter of 32 cm. What is its area (in square cm)?
  5. 5.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
  6. 6.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A wall is 5 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A wall is 12 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.Each side of a square is 4 cm. What is its perimeter (in cm)?
  10. 10.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A wall is 9 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A square has a perimeter of 44 cm. What is its area (in square cm)?
  13. 13.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  14. 14.A square has a perimeter of 8 cm. What is its area (in square cm)?
  15. 15.A square has a perimeter of 76 cm. What is its area (in square cm)?
  16. 16.A square has a perimeter of 16 cm. What is its area (in square cm)?
  17. 17.A square has a perimeter of 64 cm. What is its area (in square cm)?
  18. 18.Each side of a square is 10 cm. What is its perimeter (in cm)?
  19. 19.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  20. 20.Each side of a square is 25 cm. What is its perimeter (in cm)?
  21. 21.A wall is 7 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 20 cm long and 7 cm wide, a rectangle 16 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A square has a perimeter of 56 cm. What is its area (in square cm)?
  24. 24.From a rectangle 6 cm long and 13 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)?
  25. 25.From a rectangle 16 cm long and 5 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  27. 27.A wall is 9 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  29. 29.The perimeter of a rectangle is 50 cm and its length is 15 cm. What is its width (in cm)?
  30. 30.From a rectangle 18 cm long and 13 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A square has a perimeter of 40 cm. What is its area (in square cm)?
  32. 32.A square has a perimeter of 80 cm. What is its area (in square cm)?
  33. 33.From a rectangle 9 cm long and 7 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.The perimeter of a rectangle is 90 cm and its length is 26 cm. What is its width (in cm)?
  35. 35.The perimeter of a rectangle is 68 cm and its length is 26 cm. What is its width (in cm)?
  36. 36.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A wall is 5 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  39. 39.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  40. 40.The perimeter of a rectangle is 72 cm and its length is 30 cm. What is its width (in cm)?

Answer key

  1. 2
  2. 16
  3. 2
  4. 64
  5. 100
  6. 1020
  7. 500
  8. 3240
  9. 16
  10. 780
  11. 540
  12. 121
  13. 25
  14. 4
  15. 361
  16. 16
  17. 256
  18. 40
  19. 48
  20. 100
  21. 210
  22. 92
  23. 196
  24. 73
  25. 70
  26. 125
  27. 810
  28. 69
  29. 10
  30. 226
  31. 100
  32. 400
  33. 59
  34. 19
  35. 8
  36. 1890
  37. 250
  38. 40
  39. 56
  40. 6

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