Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 414 · 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 75 m long and 55 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.From a rectangle 19 cm long and 13 cm wide, a rectangle 12 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.From a rectangle 17 cm long and 12 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.A wall is 4 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A wall is 12 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.From a rectangle 8 cm long and 11 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.From a rectangle 16 cm long and 10 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.A square has a perimeter of 76 cm. What is its area (in square cm)?
10. 10.Each side of a square is 3 cm. What is its perimeter (in cm)?
11. 11.A wall is 8 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.A square has a perimeter of 32 cm. What is its area (in square cm)?
14. 14.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
15. 15.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A square has a perimeter of 64 cm. What is its area (in square cm)?
18. 18.A wall is 11 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
20. 20.From a rectangle 8 cm long and 8 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 50 cm and its length is 13 cm. What is its width (in cm)?
22. 22.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.From a rectangle 13 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)?
25. 25.From a rectangle 8 cm long and 15 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.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 ₹)?
27. 27.From a rectangle 15 cm long and 13 cm wide, a rectangle 10 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.A wall is 7 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A square has a perimeter of 24 cm. What is its area (in square cm)?
31. 31.The perimeter of a rectangle is 86 cm and its length is 23 cm. What is its width (in cm)?
32. 32.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
33. 33.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.From a rectangle 17 cm long and 5 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)?
37. 37.A wall is 11 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
39. 39.Each side of a square is 2 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?

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