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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 421 · 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 44 cm and its length is 13 cm. What is its width (in cm)?
  2. 2.From a rectangle 12 cm long and 15 cm wide, a rectangle 9 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.The perimeter of a rectangle is 88 cm and its length is 24 cm. What is its width (in cm)?
  4. 4.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  5. 5.Each side of a square is 11 cm. What is its perimeter (in cm)?
  6. 6.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A wall is 10 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.From a rectangle 7 cm long and 8 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.A square has a perimeter of 32 cm. What is its area (in square cm)?
  11. 11.The perimeter of a rectangle is 94 cm and its length is 26 cm. What is its width (in cm)?
  12. 12.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  13. 13.The perimeter of a rectangle is 94 cm and its length is 24 cm. What is its width (in cm)?
  14. 14.A square has a perimeter of 8 cm. What is its area (in square cm)?
  15. 15.From a rectangle 17 cm long and 6 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.From a rectangle 18 cm long and 5 cm wide, a rectangle 15 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A square has a perimeter of 20 cm. What is its area (in square cm)?
  18. 18.The perimeter of a rectangle is 70 cm and its length is 20 cm. What is its width (in cm)?
  19. 19.From a rectangle 19 cm long and 14 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A square has a perimeter of 28 cm. What is its area (in square cm)?
  22. 22.A wall is 3 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 85 m long and 70 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A wall is 4 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.From a rectangle 17 cm long and 14 cm wide, a rectangle 12 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
  27. 27.A square has a perimeter of 12 cm. What is its area (in square cm)?
  28. 28.A rectangular field is 100 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  31. 31.A square has a perimeter of 68 cm. What is its area (in square cm)?
  32. 32.A wall is 8 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A wall is 6 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A wall is 6 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.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 ₹)?
  36. 36.From a rectangle 9 cm long and 8 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.From a rectangle 7 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)?
  38. 38.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
  39. 39.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  40. 40.Each side of a square is 7 cm. What is its perimeter (in cm)?

Answer key

  1. 9
  2. 81
  3. 20
  4. 144
  5. 44
  6. 2080
  7. 810
  8. 300
  9. 48
  10. 64
  11. 21
  12. 72
  13. 23
  14. 4
  15. 78
  16. 45
  17. 25
  18. 15
  19. 260
  20. 1300
  21. 49
  22. 450
  23. 4340
  24. 400
  25. 142
  26. 2
  27. 9
  28. 2000
  29. 3780
  30. 90
  31. 289
  32. 720
  33. 540
  34. 360
  35. 990
  36. 64
  37. 40
  38. 9
  39. 24
  40. 28

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