Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 56 · 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 18 cm long and 6 cm wide, a rectangle 16 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.The perimeter of a rectangle is 70 cm and its length is 24 cm. What is its width (in cm)?
4. 4.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.From a rectangle 14 cm long and 12 cm wide, a rectangle 12 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
7. 7.A wall is 9 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A square has a perimeter of 8 cm. What is its area (in square cm)?
9. 9.A rectangular field is 80 m long and 45 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
12. 12.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
14. 14.A wall is 5 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A square has a perimeter of 64 cm. What is its area (in square cm)?
16. 16.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
17. 17.A square has a perimeter of 16 cm. What is its area (in square cm)?
18. 18.From a rectangle 8 cm long and 13 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)?
19. 19.A wall is 8 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A square has a perimeter of 72 cm. What is its area (in square cm)?
21. 21.A square has a perimeter of 20 cm. What is its area (in square cm)?
22. 22.From a rectangle 15 cm long and 11 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.From a rectangle 8 cm long and 5 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.A wall is 7 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
26. 26.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
27. 27.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
30. 30.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
31. 31.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
32. 32.A wall is 7 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
34. 34.From a rectangle 12 cm long and 11 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
37. 37.From a rectangle 20 cm long and 14 cm wide, a rectangle 15 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.A square has a perimeter of 12 cm. What is its area (in square cm)?
39. 39.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?

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