Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 411 · 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 10 cm long and 15 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.From a rectangle 8 cm long and 8 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)?
3. 3.A wall is 8 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A wall is 11 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.Each side of a square is 23 cm. What is its perimeter (in cm)?
6. 6.The perimeter of a rectangle is 60 cm and its length is 19 cm. What is its width (in cm)?
7. 7.From a rectangle 8 cm long and 15 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.Each side of a square is 22 cm. What is its perimeter (in cm)?
9. 9.A square has a perimeter of 12 cm. What is its area (in square cm)?
10. 10.A square has a perimeter of 8 cm. What is its area (in square cm)?
11. 11.From a rectangle 7 cm long and 8 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.A wall is 12 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
14. 14.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
15. 15.A wall is 5 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A square has a perimeter of 56 cm. What is its area (in square cm)?
17. 17.The perimeter of a rectangle is 58 cm and its length is 21 cm. What is its width (in cm)?
18. 18.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
19. 19.A wall is 3 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.A square has a perimeter of 76 cm. What is its area (in square cm)?
21. 21.From a rectangle 13 cm long and 12 cm wide, a rectangle 11 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.From a rectangle 13 cm long and 10 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)?
23. 23.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
25. 25.From a rectangle 15 cm long and 13 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
28. 28.The perimeter of a rectangle is 46 cm and its length is 21 cm. What is its width (in cm)?
29. 29.A wall is 5 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
31. 31.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
32. 32.From a rectangle 11 cm long and 6 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.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 ₹)?
34. 34.A square has a perimeter of 44 cm. What is its area (in square cm)?
35. 35.A square has a perimeter of 80 cm. What is its area (in square cm)?
36. 36.From a rectangle 16 cm long and 5 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
38. 38.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A square has a perimeter of 20 cm. What is its area (in square cm)?
40. 40.A square has a perimeter of 36 cm. What is its area (in square cm)?

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