Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 340 · 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 3 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A wall is 12 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.From a rectangle 7 cm long and 10 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.From a rectangle 18 cm long and 14 cm wide, a rectangle 12 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
7. 7.From a rectangle 7 cm long and 10 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)?
8. 8.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
9. 9.A wall is 12 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A wall is 4 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
13. 13.A square has a perimeter of 68 cm. What is its area (in square cm)?
14. 14.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
15. 15.From a rectangle 16 cm long and 5 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A wall is 9 m long and 5 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 20 cm. What is its area (in square cm)?
19. 19.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
20. 20.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
21. 21.A square has a perimeter of 16 cm. What is its area (in square cm)?
22. 22.From a rectangle 12 cm long and 10 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)?
23. 23.A wall is 6 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.A square has a perimeter of 24 cm. What is its area (in square cm)?
25. 25.Each side of a square is 10 cm. What is its perimeter (in cm)?
26. 26.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
27. 27.The perimeter of a rectangle is 60 cm and its length is 16 cm. What is its width (in cm)?
28. 28.A wall is 9 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A square has a perimeter of 28 cm. What is its area (in square cm)?
30. 30.A square has a perimeter of 60 cm. What is its area (in square cm)?
31. 31.The perimeter of a rectangle is 96 cm and its length is 29 cm. What is its width (in cm)?
32. 32.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
34. 34.A wall is 9 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.From a rectangle 10 cm long and 9 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)?
36. 36.Each side of a square is 24 cm. What is its perimeter (in cm)?
37. 37.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A wall is 6 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.A rectangular field is 100 m long and 65 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?

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