Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 318 · 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 11 cm long and 8 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
3. 3.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
4. 4.A wall is 4 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
6. 6.A wall is 12 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.The perimeter of a rectangle is 64 cm and its length is 23 cm. What is its width (in cm)?
8. 8.A square has a perimeter of 16 cm. What is its area (in square cm)?
9. 9.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
10. 10.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
11. 11.The perimeter of a rectangle is 70 cm and its length is 30 cm. What is its width (in cm)?
12. 12.A wall is 3 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
14. 14.The perimeter of a rectangle is 66 cm and its length is 17 cm. What is its width (in cm)?
15. 15.A square has a perimeter of 8 cm. What is its area (in square cm)?
16. 16.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
18. 18.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
19. 19.From a rectangle 20 cm long and 12 cm wide, a rectangle 17 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.From a rectangle 6 cm long and 10 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)?
21. 21.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
22. 22.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
23. 23.The perimeter of a rectangle is 62 cm and its length is 22 cm. What is its width (in cm)?
24. 24.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A square has a perimeter of 52 cm. What is its area (in square cm)?
28. 28.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
29. 29.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
30. 30.The perimeter of a rectangle is 80 cm and its length is 28 cm. What is its width (in cm)?
31. 31.A wall is 12 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
33. 33.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
34. 34.From a rectangle 9 cm long and 9 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.From a rectangle 18 cm long and 13 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.A square has a perimeter of 20 cm. What is its area (in square cm)?
37. 37.Each side of a square is 10 cm. What is its perimeter (in cm)?
38. 38.A wall is 8 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.A wall is 12 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?

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