Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 132 · 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.From a rectangle 16 cm long and 9 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)?
2. 2.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.From a rectangle 16 cm long and 7 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.A wall is 10 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A square has a perimeter of 76 cm. What is its area (in square cm)?
7. 7.A square has a perimeter of 64 cm. What is its area (in square cm)?
8. 8.A wall is 3 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A wall is 8 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
12. 12.A square has a perimeter of 32 cm. What is its area (in square cm)?
13. 13.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A square has a perimeter of 12 cm. What is its area (in square cm)?
15. 15.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
16. 16.A square has a perimeter of 72 cm. What is its area (in square cm)?
17. 17.A wall is 11 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
19. 19.From a rectangle 20 cm long and 11 cm wide, a rectangle 14 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
22. 22.A wall is 12 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A square has a perimeter of 52 cm. What is its area (in square cm)?
24. 24.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
25. 25.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
27. 27.The perimeter of a rectangle is 110 cm and its length is 29 cm. What is its width (in cm)?
28. 28.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.From a rectangle 12 cm long and 6 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A square has a perimeter of 8 cm. What is its area (in square cm)?
31. 31.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.From a rectangle 20 cm long and 14 cm wide, a rectangle 10 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.Each side of a square is 25 cm. What is its perimeter (in cm)?
34. 34.From a rectangle 6 cm long and 12 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)?
35. 35.From a rectangle 14 cm long and 12 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.The perimeter of a rectangle is 46 cm and its length is 18 cm. What is its width (in cm)?
38. 38.A square has a perimeter of 36 cm. What is its area (in square cm)?
39. 39.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.From a rectangle 10 cm long and 7 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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