Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 253 · 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 8 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.From a rectangle 10 cm long and 11 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.The perimeter of a rectangle is 88 cm and its length is 24 cm. What is its width (in cm)?
6. 6.The perimeter of a rectangle is 84 cm and its length is 27 cm. What is its width (in cm)?
7. 7.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
8. 8.From a rectangle 12 cm long and 11 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
11. 11.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
12. 12.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
13. 13.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
14. 14.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.From a rectangle 19 cm long and 13 cm wide, a rectangle 11 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
17. 17.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.From a rectangle 18 cm long and 10 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
21. 21.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
22. 22.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
23. 23.A square has a perimeter of 20 cm. What is its area (in square cm)?
24. 24.The perimeter of a rectangle is 98 cm and its length is 27 cm. What is its width (in cm)?
25. 25.A square has a perimeter of 60 cm. What is its area (in square cm)?
26. 26.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
28. 28.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
30. 30.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.The perimeter of a rectangle is 100 cm and its length is 27 cm. What is its width (in cm)?
32. 32.A wall is 4 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.From a rectangle 11 cm long and 11 cm wide, a rectangle 9 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.From a rectangle 19 cm long and 8 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)?
36. 36.Each side of a square is 24 cm. What is its perimeter (in cm)?
37. 37.A rectangular field is 100 m long and 95 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.From a rectangle 8 cm long and 13 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
40. 40.A square has a perimeter of 12 cm. What is its area (in square cm)?

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