Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 177 · 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 50 m long and 35 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
3. 3.From a rectangle 16 cm long and 10 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)?
4. 4.Each side of a square is 17 cm. What is its perimeter (in cm)?
5. 5.A square has a perimeter of 64 cm. What is its area (in square cm)?
6. 6.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
7. 7.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
8. 8.The perimeter of a rectangle is 74 cm and its length is 25 cm. What is its width (in cm)?
9. 9.From a rectangle 17 cm long and 15 cm wide, a rectangle 11 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.The perimeter of a rectangle is 30 cm and its length is 13 cm. What is its width (in cm)?
11. 11.The perimeter of a rectangle is 52 cm and its length is 22 cm. What is its width (in cm)?
12. 12.A square has a perimeter of 56 cm. What is its area (in square cm)?
13. 13.The perimeter of a rectangle is 98 cm and its length is 26 cm. What is its width (in cm)?
14. 14.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
16. 16.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.From a rectangle 10 cm long and 6 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A wall is 11 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
21. 21.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A square has a perimeter of 24 cm. What is its area (in square cm)?
23. 23.A rectangular field is 75 m long and 40 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A square has a perimeter of 60 cm. What is its area (in square cm)?
25. 25.From a rectangle 14 cm long and 10 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.From a rectangle 17 cm long and 14 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)?
27. 27.A square has a perimeter of 52 cm. What is its area (in square cm)?
28. 28.From a rectangle 13 cm long and 10 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.A square has a perimeter of 76 cm. What is its area (in square cm)?
30. 30.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
31. 31.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 ₹)?
32. 32.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A wall is 12 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A wall is 7 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
38. 38.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
39. 39.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
40. 40.A wall is 10 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?

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