Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 531 · 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.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 ₹)?
2. 2.From a rectangle 11 cm long and 8 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
5. 5.Each side of a square is 3 cm. What is its perimeter (in cm)?
6. 6.A square has a perimeter of 16 cm. What is its area (in square cm)?
7. 7.The perimeter of a rectangle is 82 cm and its length is 24 cm. What is its width (in cm)?
8. 8.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
9. 9.A rectangular field is 90 m long and 50 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.Each side of a square is 9 cm. What is its perimeter (in cm)?
11. 11.A wall is 11 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.From a rectangle 9 cm long and 5 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A wall is 10 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
15. 15.Each side of a square is 6 cm. What is its perimeter (in cm)?
16. 16.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
17. 17.A square has a perimeter of 80 cm. What is its area (in square cm)?
18. 18.From a rectangle 16 cm long and 14 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
20. 20.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 92 cm and its length is 27 cm. What is its width (in cm)?
22. 22.Each side of a square is 10 cm. What is its perimeter (in cm)?
23. 23.From a rectangle 20 cm long and 13 cm wide, a rectangle 13 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.Each side of a square is 7 cm. What is its perimeter (in cm)?
25. 25.A wall is 6 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A wall is 3 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A square has a perimeter of 68 cm. What is its area (in square cm)?
28. 28.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
29. 29.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
30. 30.From a rectangle 12 cm long and 5 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
32. 32.From a rectangle 20 cm long and 5 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)?
33. 33.From a rectangle 15 cm long and 7 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)?
34. 34.From a rectangle 8 cm long and 13 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)?
35. 35.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A square has a perimeter of 40 cm. What is its area (in square cm)?
39. 39.Each side of a square is 11 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?

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