Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 556 · 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 70 m long and 50 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A wall is 8 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.A wall is 8 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.The perimeter of a rectangle is 66 cm and its length is 29 cm. What is its width (in cm)?
5. 5.From a rectangle 14 cm long and 8 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A square has a perimeter of 64 cm. What is its area (in square cm)?
7. 7.From a rectangle 17 cm long and 12 cm wide, a rectangle 4 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A wall is 11 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A wall is 3 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.From a rectangle 6 cm long and 14 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A wall is 9 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
15. 15.From a rectangle 6 cm long and 11 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
17. 17.Each side of a square is 2 cm. What is its perimeter (in cm)?
18. 18.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A rectangular field is 90 m long and 80 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.From a rectangle 20 cm long and 11 cm wide, a rectangle 12 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A wall is 3 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.Each side of a square is 25 cm. What is its perimeter (in cm)?
25. 25.From a rectangle 13 cm long and 5 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)?
26. 26.From a rectangle 17 cm long and 14 cm wide, a rectangle 13 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.The perimeter of a rectangle is 32 cm and its length is 11 cm. What is its width (in cm)?
28. 28.A square has a perimeter of 12 cm. What is its area (in square cm)?
29. 29.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 ₹)?
30. 30.From a rectangle 9 cm long and 12 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)?
31. 31.From a rectangle 19 cm long and 13 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
33. 33.From a rectangle 13 cm long and 15 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)?
34. 34.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
35. 35.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
36. 36.A square has a perimeter of 80 cm. What is its area (in square cm)?
37. 37.From a rectangle 20 cm long and 6 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.A wall is 10 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
40. 40.From a rectangle 10 cm long and 13 cm wide, a rectangle 6 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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