Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 693 · 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 4 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.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 ₹)?
3. 3.A wall is 7 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
5. 5.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
6. 6.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A wall is 12 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.From a rectangle 15 cm long and 10 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)?
9. 9.From a rectangle 18 cm long and 8 cm wide, a rectangle 15 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.A wall is 4 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.From a rectangle 6 cm long and 14 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.A square has a perimeter of 36 cm. What is its area (in square cm)?
13. 13.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
14. 14.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
16. 16.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.The perimeter of a rectangle is 86 cm and its length is 26 cm. What is its width (in cm)?
19. 19.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.From a rectangle 13 cm long and 12 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.From a rectangle 9 cm long and 15 cm wide, a rectangle 7 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
26. 26.From a rectangle 19 cm long and 15 cm wide, a rectangle 14 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
28. 28.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
29. 29.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
30. 30.The perimeter of a rectangle is 62 cm and its length is 20 cm. What is its width (in cm)?
31. 31.From a rectangle 16 cm long and 8 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A wall is 3 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A wall is 3 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.From a rectangle 7 cm long and 8 cm wide, a rectangle 3 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 6 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.From a rectangle 13 cm long and 15 cm wide, a rectangle 6 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A wall is 6 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.The perimeter of a rectangle is 82 cm and its length is 24 cm. What is its width (in cm)?

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