Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 613 · 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.From a rectangle 11 cm long and 7 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A wall is 4 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.A rectangular field is 85 m long and 75 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
5. 5.A wall is 9 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A wall is 7 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A wall is 6 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A wall is 7 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
11. 11.A rectangular field is 95 m long and 70 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.From a rectangle 15 cm long and 13 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A wall is 11 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A wall is 6 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A square has a perimeter of 44 cm. What is its area (in square cm)?
17. 17.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
18. 18.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
19. 19.A wall is 9 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 104 cm and its length is 30 cm. What is its width (in cm)?
22. 22.From a rectangle 16 cm long and 5 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.A square has a perimeter of 72 cm. What is its area (in square cm)?
24. 24.A wall is 4 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.From a rectangle 7 cm long and 14 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.The perimeter of a rectangle is 78 cm and its length is 24 cm. What is its width (in cm)?
28. 28.The perimeter of a rectangle is 78 cm and its length is 27 cm. What is its width (in cm)?
29. 29.A square has a perimeter of 32 cm. What is its area (in square cm)?
30. 30.From a rectangle 8 cm long and 15 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)?
31. 31.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A wall is 8 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A square has a perimeter of 12 cm. What is its area (in square cm)?
34. 34.From a rectangle 13 cm long and 15 cm wide, a rectangle 11 cm by 5 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 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
37. 37.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
38. 38.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 ₹)?
39. 39.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A square has a perimeter of 48 cm. What is its area (in square cm)?

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