Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 554 · 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.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
2. 2.From a rectangle 8 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)?
3. 3.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.From a rectangle 12 cm long and 8 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A wall is 4 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
8. 8.A wall is 7 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A wall is 5 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 17 cm long and 14 cm wide, a rectangle 8 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 12 cm long and 14 cm wide, a rectangle 10 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.From a rectangle 13 cm long and 6 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A wall is 6 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A square has a perimeter of 8 cm. What is its area (in square cm)?
19. 19.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 ₹)?
20. 20.From a rectangle 12 cm long and 6 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)?
21. 21.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
22. 22.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
23. 23.A wall is 7 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.From a rectangle 11 cm long and 10 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.The perimeter of a rectangle is 44 cm and its length is 12 cm. What is its width (in cm)?
26. 26.A wall is 5 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.The perimeter of a rectangle is 96 cm and its length is 26 cm. What is its width (in cm)?
29. 29.A wall is 5 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.From a rectangle 13 cm long and 7 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A square has a perimeter of 32 cm. What is its area (in square cm)?
33. 33.The perimeter of a rectangle is 72 cm and its length is 29 cm. What is its width (in cm)?
34. 34.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
35. 35.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A square has a perimeter of 16 cm. What is its area (in square cm)?
37. 37.The perimeter of a rectangle is 80 cm and its length is 22 cm. What is its width (in cm)?
38. 38.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 90 cm and its length is 23 cm. What is its width (in cm)?
40. 40.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?

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