Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 320 · 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 90 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.From a rectangle 11 cm long and 13 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)?
3. 3.The perimeter of a rectangle is 86 cm and its length is 26 cm. What is its width (in cm)?
4. 4.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
6. 6.The perimeter of a rectangle is 64 cm and its length is 25 cm. What is its width (in cm)?
7. 7.A square has a perimeter of 12 cm. What is its area (in square cm)?
8. 8.A square has a perimeter of 20 cm. What is its area (in square cm)?
9. 9.A square has a perimeter of 24 cm. What is its area (in square cm)?
10. 10.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
11. 11.From a rectangle 7 cm long and 7 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)?
12. 12.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
13. 13.A square has a perimeter of 64 cm. What is its area (in square cm)?
14. 14.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A wall is 3 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
18. 18.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
19. 19.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
20. 20.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.The perimeter of a rectangle is 52 cm and its length is 18 cm. What is its width (in cm)?
22. 22.From a rectangle 9 cm long and 11 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)?
23. 23.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
24. 24.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
25. 25.From a rectangle 19 cm long and 8 cm wide, a rectangle 16 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A wall is 5 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A square has a perimeter of 76 cm. What is its area (in square cm)?
29. 29.A rectangular field is 95 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A wall is 12 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.From a rectangle 17 cm long and 12 cm wide, a rectangle 11 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A square has a perimeter of 16 cm. What is its area (in square cm)?
33. 33.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A wall is 6 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
36. 36.From a rectangle 14 cm long and 13 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.From a rectangle 15 cm long and 5 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)?
40. 40.A wall is 5 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?

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