Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 231 · 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 an equilateral triangle is 22 cm. What is its perimeter (in cm)?
2. 2.From a rectangle 10 cm long and 9 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.A wall is 11 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A wall is 4 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of a square is 9 cm. What is its perimeter (in cm)?
8. 8.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
9. 9.From a rectangle 19 cm long and 5 cm wide, a rectangle 16 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
11. 11.Each side of a square is 17 cm. What is its perimeter (in cm)?
12. 12.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
13. 13.A square has a perimeter of 12 cm. What is its area (in square cm)?
14. 14.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.From a rectangle 8 cm long and 7 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
18. 18.The perimeter of a rectangle is 86 cm and its length is 27 cm. What is its width (in cm)?
19. 19.From a rectangle 10 cm long and 8 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.Each side of a square is 2 cm. What is its perimeter (in cm)?
21. 21.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
22. 22.From a rectangle 13 cm long and 11 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
24. 24.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A wall is 7 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.The perimeter of a rectangle is 82 cm and its length is 27 cm. What is its width (in cm)?
27. 27.A wall is 7 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.The perimeter of a rectangle is 40 cm and its length is 17 cm. What is its width (in cm)?
29. 29.From a rectangle 7 cm long and 13 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)?
30. 30.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
31. 31.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
32. 32.A wall is 9 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.From a rectangle 13 cm long and 13 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)?
36. 36.A wall is 12 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A square has a perimeter of 44 cm. What is its area (in square cm)?
38. 38.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
39. 39.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
40. 40.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?

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