Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 657 · 40 sums

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.

1. 1.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A wall is 7 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.From a rectangle 7 cm long and 6 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.The perimeter of a rectangle is 86 cm and its length is 22 cm. What is its width (in cm)?
6. 6.From a rectangle 12 cm long and 15 cm wide, a rectangle 10 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.A wall is 9 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.From a rectangle 20 cm long and 6 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A wall is 11 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
12. 12.A wall is 7 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.From a rectangle 14 cm long and 13 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
15. 15.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
16. 16.From a rectangle 9 cm long and 15 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)?
17. 17.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
18. 18.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
19. 19.From a rectangle 17 cm long and 15 cm wide, a rectangle 10 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
22. 22.The perimeter of a rectangle is 62 cm and its length is 20 cm. What is its width (in cm)?
23. 23.From a rectangle 9 cm long and 8 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.From a rectangle 9 cm long and 6 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)?
25. 25.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.The perimeter of a rectangle is 66 cm and its length is 18 cm. What is its width (in cm)?
28. 28.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
30. 30.A square has a perimeter of 36 cm. What is its area (in square cm)?
31. 31.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.The perimeter of a rectangle is 80 cm and its length is 21 cm. What is its width (in cm)?
33. 33.A wall is 9 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.The perimeter of a rectangle is 76 cm and its length is 25 cm. What is its width (in cm)?
35. 35.The perimeter of a rectangle is 78 cm and its length is 20 cm. What is its width (in cm)?
36. 36.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
38. 38.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
40. 40.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?

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