Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 299 · 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 13 cm wide, a rectangle 3 cm by 7 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 octagon is 4 cm. What is its perimeter (in cm)?
3. 3.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
4. 4.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
6. 6.Each side of a square is 8 cm. What is its perimeter (in cm)?
7. 7.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
8. 8.A square has a perimeter of 20 cm. What is its area (in square cm)?
9. 9.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
10. 10.A wall is 5 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A wall is 10 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.A square has a perimeter of 60 cm. What is its area (in square cm)?
14. 14.A wall is 3 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A square has a perimeter of 80 cm. What is its area (in square cm)?
16. 16.A wall is 4 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A wall is 10 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A wall is 6 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.From a rectangle 6 cm long and 6 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)?
21. 21.A wall is 4 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
23. 23.From a rectangle 16 cm long and 6 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
26. 26.From a rectangle 19 cm long and 5 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)?
27. 27.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A square has a perimeter of 76 cm. What is its area (in square cm)?
29. 29.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
30. 30.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
31. 31.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
32. 32.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
33. 33.A square has a perimeter of 32 cm. What is its area (in square cm)?
34. 34.The perimeter of a rectangle is 64 cm and its length is 23 cm. What is its width (in cm)?
35. 35.The perimeter of a rectangle is 74 cm and its length is 24 cm. What is its width (in cm)?
36. 36.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
38. 38.From a rectangle 20 cm long and 14 cm wide, a rectangle 16 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A square has a perimeter of 12 cm. What is its area (in square cm)?

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