Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 595 · 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.The perimeter of a rectangle is 62 cm and its length is 25 cm. What is its width (in cm)?
2. 2.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.From a rectangle 13 cm long and 6 cm wide, a rectangle 11 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A square has a perimeter of 60 cm. What is its area (in square cm)?
5. 5.The perimeter of a rectangle is 90 cm and its length is 24 cm. What is its width (in cm)?
6. 6.A wall is 6 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.The perimeter of a rectangle is 40 cm and its length is 15 cm. What is its width (in cm)?
8. 8.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
10. 10.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
11. 11.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.Each side of a square is 25 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 14 cm long and 13 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)?
14. 14.A wall is 12 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
16. 16.A square has a perimeter of 76 cm. What is its area (in square cm)?
17. 17.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
18. 18.From a rectangle 9 cm long and 12 cm wide, a rectangle 7 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.From a rectangle 16 cm long and 15 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.From a rectangle 9 cm long and 9 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.The perimeter of a rectangle is 76 cm and its length is 29 cm. What is its width (in cm)?
22. 22.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A wall is 6 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.From a rectangle 16 cm long and 12 cm wide, a rectangle 5 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.A square has a perimeter of 68 cm. What is its area (in square cm)?
26. 26.A wall is 8 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
28. 28.A square has a perimeter of 56 cm. What is its area (in square cm)?
29. 29.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
30. 30.A square has a perimeter of 24 cm. What is its area (in square cm)?
31. 31.From a rectangle 11 cm long and 10 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
33. 33.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
34. 34.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
35. 35.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A square has a perimeter of 48 cm. What is its area (in square cm)?
37. 37.A wall is 9 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A rectangular field is 100 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.From a rectangle 16 cm long and 10 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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