Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 297 · 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 14 cm long and 7 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
3. 3.From a rectangle 13 cm long and 14 cm wide, a rectangle 11 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.From a rectangle 13 cm long and 11 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.From a rectangle 19 cm long and 5 cm wide, a rectangle 13 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.The perimeter of a rectangle is 60 cm and its length is 28 cm. What is its width (in cm)?
10. 10.A wall is 11 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A wall is 4 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
13. 13.A square has a perimeter of 12 cm. What is its area (in square cm)?
14. 14.Each side of a square is 21 cm. What is its perimeter (in cm)?
15. 15.A square has a perimeter of 64 cm. What is its area (in square cm)?
16. 16.The perimeter of a rectangle is 64 cm and its length is 22 cm. What is its width (in cm)?
17. 17.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
19. 19.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A square has a perimeter of 24 cm. What is its area (in square cm)?
21. 21.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
22. 22.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
24. 24.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
25. 25.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
26. 26.The perimeter of a rectangle is 66 cm and its length is 17 cm. What is its width (in cm)?
27. 27.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.From a rectangle 17 cm long and 15 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A wall is 6 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A square has a perimeter of 52 cm. What is its area (in square cm)?
33. 33.A square has a perimeter of 16 cm. What is its area (in square cm)?
34. 34.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 ₹)?
35. 35.A wall is 9 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A square has a perimeter of 60 cm. What is its area (in square cm)?
37. 37.The perimeter of a rectangle is 50 cm and its length is 23 cm. What is its width (in cm)?
38. 38.A square has a perimeter of 28 cm. What is its area (in square cm)?
39. 39.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
40. 40.From a rectangle 9 cm long and 14 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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