Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 49 · 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.A wall is 8 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.A square has a perimeter of 44 cm. What is its area (in square cm)?
4. 4.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
6. 6.A wall is 5 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A wall is 7 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
10. 10.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
11. 11.The perimeter of a rectangle is 46 cm and its length is 20 cm. What is its width (in cm)?
12. 12.A wall is 3 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
14. 14.A square has a perimeter of 80 cm. What is its area (in square cm)?
15. 15.From a rectangle 13 cm long and 7 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)?
16. 16.A wall is 11 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.The perimeter of a rectangle is 60 cm and its length is 17 cm. What is its width (in cm)?
18. 18.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
19. 19.From a rectangle 9 cm long and 5 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.A square has a perimeter of 64 cm. What is its area (in square cm)?
21. 21.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
23. 23.The perimeter of a rectangle is 66 cm and its length is 27 cm. What is its width (in cm)?
24. 24.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
25. 25.From a rectangle 7 cm long and 6 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
27. 27.The perimeter of a rectangle is 58 cm and its length is 24 cm. What is its width (in cm)?
28. 28.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.From a rectangle 17 cm long and 13 cm wide, a rectangle 10 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
32. 32.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A square has a perimeter of 8 cm. What is its area (in square cm)?
34. 34.A wall is 12 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.The perimeter of a rectangle is 42 cm and its length is 14 cm. What is its width (in cm)?
37. 37.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.From a rectangle 20 cm long and 11 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.From a rectangle 17 cm long and 8 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.The perimeter of a rectangle is 84 cm and its length is 28 cm. What is its width (in cm)?

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