Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 55 · 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 hexagon is 25 cm. What is its perimeter (in cm)?
2. 2.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
3. 3.From a rectangle 15 cm long and 12 cm wide, a rectangle 12 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
5. 5.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 ₹)?
6. 6.From a rectangle 17 cm long and 13 cm wide, a rectangle 1 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
9. 9.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
10. 10.The perimeter of a rectangle is 66 cm and its length is 24 cm. What is its width (in cm)?
11. 11.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.From a rectangle 16 cm long and 9 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)?
13. 13.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.The perimeter of a rectangle is 90 cm and its length is 23 cm. What is its width (in cm)?
15. 15.The perimeter of a rectangle is 60 cm and its length is 18 cm. What is its width (in cm)?
16. 16.From a rectangle 7 cm long and 15 cm wide, a rectangle 1 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
18. 18.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 ₹)?
19. 19.The perimeter of a rectangle is 70 cm and its length is 27 cm. What is its width (in cm)?
20. 20.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.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)?
23. 23.From a rectangle 18 cm long and 7 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.A square has a perimeter of 44 cm. What is its area (in square cm)?
25. 25.Each side of a square is 19 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 85 m long and 60 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.The perimeter of a rectangle is 38 cm and its length is 15 cm. What is its width (in cm)?
28. 28.A square has a perimeter of 12 cm. What is its area (in square cm)?
29. 29.From a rectangle 17 cm long and 6 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)?
30. 30.The perimeter of a rectangle is 36 cm and its length is 16 cm. What is its width (in cm)?
31. 31.The perimeter of a rectangle is 46 cm and its length is 19 cm. What is its width (in cm)?
32. 32.From a rectangle 9 cm long and 8 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?
34. 34.From a rectangle 6 cm long and 8 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)?
35. 35.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 75 m long and 35 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.Each side of a square is 7 cm. What is its perimeter (in cm)?
38. 38.A square has a perimeter of 56 cm. What is its area (in square cm)?
39. 39.A wall is 3 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A wall is 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?

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