Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 205 · 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 wall is 5 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.Each side of a square is 24 cm. What is its perimeter (in cm)?
3. 3.From a rectangle 9 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)?
4. 4.From a rectangle 13 cm long and 6 cm wide, a rectangle 11 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
6. 6.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
7. 7.A wall is 10 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
9. 9.The perimeter of a rectangle is 54 cm and its length is 20 cm. What is its width (in cm)?
10. 10.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
11. 11.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.The perimeter of a rectangle is 40 cm and its length is 14 cm. What is its width (in cm)?
13. 13.A square has a perimeter of 16 cm. What is its area (in square cm)?
14. 14.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
15. 15.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.Each side of a square is 22 cm. What is its perimeter (in cm)?
17. 17.A square has a perimeter of 76 cm. What is its area (in square cm)?
18. 18.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.From a rectangle 15 cm long and 6 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
21. 21.A square has a perimeter of 48 cm. What is its area (in square cm)?
22. 22.The perimeter of a rectangle is 82 cm and its length is 24 cm. What is its width (in cm)?
23. 23.From a rectangle 11 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)?
24. 24.A wall is 12 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
27. 27.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
28. 28.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.From a rectangle 19 cm long and 6 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)?
30. 30.From a rectangle 13 cm long and 8 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)?
31. 31.From a rectangle 20 cm long and 6 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)?
32. 32.A wall is 4 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.From a rectangle 12 cm long and 7 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)?
34. 34.A square has a perimeter of 36 cm. What is its area (in square cm)?
35. 35.A wall is 10 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
37. 37.A square has a perimeter of 8 cm. What is its area (in square cm)?
38. 38.The perimeter of a rectangle is 38 cm and its length is 14 cm. What is its width (in cm)?
39. 39.From a rectangle 13 cm long and 9 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)?
40. 40.Each side of a square is 9 cm. What is its perimeter (in cm)?

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