Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 666 · 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 55 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.Each side of a square is 23 cm. What is its perimeter (in cm)?
3. 3.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
4. 4.A square has a perimeter of 64 cm. What is its area (in square cm)?
5. 5.A square has a perimeter of 40 cm. What is its area (in square cm)?
6. 6.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of a square is 12 cm. What is its perimeter (in cm)?
8. 8.A wall is 3 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.From a rectangle 18 cm long and 13 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
11. 11.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
12. 12.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
13. 13.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
15. 15.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.From a rectangle 9 cm long and 9 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.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 ₹)?
19. 19.From a rectangle 6 cm long and 10 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)?
20. 20.A wall is 9 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.The perimeter of a rectangle is 82 cm and its length is 27 cm. What is its width (in cm)?
22. 22.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A square has a perimeter of 8 cm. What is its area (in square cm)?
24. 24.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?
25. 25.A wall is 12 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.From a rectangle 11 cm long and 11 cm wide, a rectangle 2 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
28. 28.The perimeter of a rectangle is 72 cm and its length is 28 cm. What is its width (in cm)?
29. 29.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
30. 30.A square has a perimeter of 24 cm. What is its area (in square cm)?
31. 31.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
32. 32.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A wall is 7 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.Each side of a square is 25 cm. What is its perimeter (in cm)?
36. 36.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
37. 37.From a rectangle 11 cm long and 7 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
39. 39.From a rectangle 11 cm long and 9 cm wide, a rectangle 1 cm by 7 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 26 cm and its length is 10 cm. What is its width (in cm)?

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