Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 154 · 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 15 cm long and 9 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A rectangular field is 90 m long and 50 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.Each side of a square is 4 cm. What is its perimeter (in cm)?
5. 5.The perimeter of a rectangle is 78 cm and its length is 22 cm. What is its width (in cm)?
6. 6.A wall is 4 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.From a rectangle 6 cm long and 12 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.From a rectangle 20 cm long and 6 cm wide, a rectangle 16 cm by 2 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 46 cm and its length is 12 cm. What is its width (in cm)?
10. 10.The perimeter of a rectangle is 50 cm and its length is 19 cm. What is its width (in cm)?
11. 11.Each side of a square is 6 cm. What is its perimeter (in cm)?
12. 12.Each side of a square is 11 cm. What is its perimeter (in cm)?
13. 13.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
14. 14.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
15. 15.The perimeter of a rectangle is 90 cm and its length is 29 cm. What is its width (in cm)?
16. 16.The perimeter of a rectangle is 72 cm and its length is 28 cm. What is its width (in cm)?
17. 17.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
19. 19.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A square has a perimeter of 80 cm. What is its area (in square cm)?
21. 21.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.From a rectangle 10 cm long and 14 cm wide, a rectangle 7 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
24. 24.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.From a rectangle 10 cm long and 5 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A wall is 10 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.From a rectangle 7 cm long and 11 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)?
30. 30.A square has a perimeter of 72 cm. What is its area (in square cm)?
31. 31.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
32. 32.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
33. 33.Each side of a square is 17 cm. What is its perimeter (in cm)?
34. 34.A rectangular field is 100 m long and 45 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A wall is 12 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.Each side of a square is 18 cm. What is its perimeter (in cm)?
37. 37.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
38. 38.From a rectangle 9 cm long and 15 cm wide, a rectangle 7 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A wall is 4 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A square has a perimeter of 32 cm. What is its area (in square cm)?

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