Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 508 · 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 65 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.From a rectangle 9 cm long and 6 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.From a rectangle 10 cm long and 7 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)?
4. 4.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A wall is 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.From a rectangle 9 cm long and 13 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)?
9. 9.Each side of a square is 12 cm. What is its perimeter (in cm)?
10. 10.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
11. 11.A square has a perimeter of 40 cm. What is its area (in square cm)?
12. 12.A rectangular field is 90 m long and 55 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.From a rectangle 12 cm long and 9 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.A wall is 5 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A wall is 11 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.The perimeter of a rectangle is 84 cm and its length is 29 cm. What is its width (in cm)?
17. 17.A wall is 8 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A square has a perimeter of 28 cm. What is its area (in square cm)?
19. 19.A square has a perimeter of 44 cm. What is its area (in square cm)?
20. 20.From a rectangle 7 cm long and 10 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)?
21. 21.A wall is 9 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.A wall is 4 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
24. 24.The perimeter of a rectangle is 78 cm and its length is 23 cm. What is its width (in cm)?
25. 25.A wall is 8 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.The perimeter of a rectangle is 46 cm and its length is 20 cm. What is its width (in cm)?
27. 27.A square has a perimeter of 60 cm. What is its area (in square cm)?
28. 28.A square has a perimeter of 68 cm. What is its area (in square cm)?
29. 29.A square has a perimeter of 52 cm. What is its area (in square cm)?
30. 30.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
31. 31.A square has a perimeter of 76 cm. What is its area (in square cm)?
32. 32.A wall is 4 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.From a rectangle 6 cm long and 9 cm wide, a rectangle 3 cm by 3 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 12 cm. What is its perimeter (in cm)?
35. 35.The perimeter of a rectangle is 76 cm and its length is 30 cm. What is its width (in cm)?
36. 36.A square has a perimeter of 48 cm. What is its area (in square cm)?
37. 37.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
38. 38.The perimeter of a rectangle is 34 cm and its length is 14 cm. What is its width (in cm)?
39. 39.The perimeter of a rectangle is 60 cm and its length is 16 cm. What is its width (in cm)?
40. 40.From a rectangle 18 cm long and 13 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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