Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 92 · 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 70 m long and 50 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A wall is 4 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A square has a perimeter of 32 cm. What is its area (in square cm)?
5. 5.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
6. 6.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
7. 7.A square has a perimeter of 8 cm. What is its area (in square cm)?
8. 8.A wall is 3 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.Each side of a square is 15 cm. What is its perimeter (in cm)?
11. 11.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.From a rectangle 15 cm long and 8 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)?
13. 13.From a rectangle 6 cm long and 11 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.From a rectangle 10 cm long and 8 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
17. 17.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A rectangular field is 95 m long and 40 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.From a rectangle 18 cm long and 12 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.From a rectangle 11 cm long and 5 cm wide, a rectangle 9 cm by 3 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 66 cm and its length is 21 cm. What is its width (in cm)?
22. 22.A wall is 6 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
24. 24.A wall is 6 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
27. 27.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
28. 28.A square has a perimeter of 60 cm. What is its area (in square cm)?
29. 29.From a rectangle 6 cm long and 10 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
32. 32.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.From a rectangle 8 cm long and 13 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A wall is 4 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.From a rectangle 10 cm long and 8 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A square has a perimeter of 20 cm. What is its area (in square cm)?
38. 38.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
39. 39.A rectangular field is 95 m long and 70 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.From a rectangle 6 cm long and 7 cm wide, a rectangle 3 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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