Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 390 · 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 octagon is 21 cm. What is its perimeter (in cm)?
2. 2.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A square has a perimeter of 32 cm. What is its area (in square cm)?
4. 4.A square has a perimeter of 28 cm. What is its area (in square cm)?
5. 5.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
6. 6.From a rectangle 6 cm long and 14 cm wide, a rectangle 2 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A square has a perimeter of 40 cm. What is its area (in square cm)?
11. 11.The perimeter of a rectangle is 54 cm and its length is 17 cm. What is its width (in cm)?
12. 12.A square has a perimeter of 36 cm. What is its area (in square cm)?
13. 13.A wall is 10 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A wall is 8 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.Each side of a square is 5 cm. What is its perimeter (in cm)?
16. 16.From a rectangle 15 cm long and 10 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)?
17. 17.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.From a rectangle 16 cm long and 15 cm wide, a rectangle 13 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A square has a perimeter of 80 cm. What is its area (in square cm)?
20. 20.A wall is 12 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.Each side of a square is 13 cm. What is its perimeter (in cm)?
22. 22.The perimeter of a rectangle is 50 cm and its length is 19 cm. What is its width (in cm)?
23. 23.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
24. 24.The perimeter of a rectangle is 58 cm and its length is 19 cm. What is its width (in cm)?
25. 25.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
26. 26.A rectangular field is 100 m long and 50 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
28. 28.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.From a rectangle 15 cm long and 10 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)?
31. 31.Each side of a square is 3 cm. What is its perimeter (in cm)?
32. 32.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
33. 33.From a rectangle 19 cm long and 12 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)?
34. 34.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
35. 35.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
36. 36.From a rectangle 8 cm long and 5 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.Each side of a square is 7 cm. What is its perimeter (in cm)?
38. 38.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.The perimeter of a rectangle is 34 cm and its length is 13 cm. What is its width (in cm)?
40. 40.The perimeter of a rectangle is 32 cm and its length is 13 cm. What is its width (in cm)?

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