Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 2 · 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 wall is 5 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
4. 4.A rectangular field is 100 m long and 50 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A square has a perimeter of 24 cm. What is its area (in square cm)?
6. 6.A square has a perimeter of 8 cm. What is its area (in square cm)?
7. 7.The perimeter of a rectangle is 92 cm and its length is 25 cm. What is its width (in cm)?
8. 8.The perimeter of a rectangle is 52 cm and its length is 21 cm. What is its width (in cm)?
9. 9.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
10. 10.From a rectangle 12 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)?
11. 11.From a rectangle 13 cm long and 13 cm wide, a rectangle 3 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
14. 14.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
15. 15.From a rectangle 17 cm long and 6 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
17. 17.The perimeter of a rectangle is 48 cm and its length is 20 cm. What is its width (in cm)?
18. 18.Each side of a square is 11 cm. What is its perimeter (in cm)?
19. 19.From a rectangle 16 cm long and 13 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)?
20. 20.A wall is 6 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A wall is 12 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.The perimeter of a rectangle is 64 cm and its length is 27 cm. What is its width (in cm)?
23. 23.From a rectangle 16 cm long and 11 cm wide, a rectangle 5 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 9 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.From a rectangle 14 cm long and 7 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)?
26. 26.A square has a perimeter of 32 cm. What is its area (in square cm)?
27. 27.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.From a rectangle 12 cm long and 15 cm wide, a rectangle 7 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
31. 31.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A square has a perimeter of 16 cm. What is its area (in square cm)?
33. 33.From a rectangle 8 cm long and 13 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.A square has a perimeter of 40 cm. What is its area (in square cm)?
35. 35.A wall is 8 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.The perimeter of a rectangle is 88 cm and its length is 24 cm. What is its width (in cm)?
37. 37.A square has a perimeter of 52 cm. What is its area (in square cm)?
38. 38.From a rectangle 9 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)?
39. 39.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A wall is 5 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?

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