Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 478 · 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 16 cm long and 5 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A wall is 7 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
4. 4.A wall is 8 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A square has a perimeter of 12 cm. What is its area (in square cm)?
6. 6.A wall is 6 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
8. 8.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A wall is 10 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.Each side of a regular hexagon is 25 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.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A square has a perimeter of 36 cm. What is its area (in square cm)?
15. 15.A wall is 8 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A wall is 10 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
18. 18.From a rectangle 16 cm long and 14 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)?
19. 19.From a rectangle 6 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)?
20. 20.A wall is 8 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A rectangular field is 65 m long and 55 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.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 ₹)?
23. 23.A rectangular field is 95 m long and 75 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.From a rectangle 7 cm long and 6 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)?
25. 25.From a rectangle 13 cm long and 7 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A square has a perimeter of 56 cm. What is its area (in square cm)?
27. 27.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 ₹)?
28. 28.From a rectangle 19 cm long and 15 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)?
29. 29.A wall is 3 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A square has a perimeter of 16 cm. What is its area (in square cm)?
33. 33.From a rectangle 20 cm long and 14 cm wide, a rectangle 3 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.A wall is 6 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A square has a perimeter of 44 cm. What is its area (in square cm)?
37. 37.Each side of a square is 4 cm. What is its perimeter (in cm)?
38. 38.From a rectangle 6 cm long and 5 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)?
39. 39.From a rectangle 7 cm long and 5 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.The perimeter of a rectangle is 88 cm and its length is 26 cm. What is its width (in cm)?

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