Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 502 · 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 80 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.The perimeter of a rectangle is 38 cm and its length is 13 cm. What is its width (in cm)?
3. 3.A wall is 8 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.From a rectangle 13 cm long and 10 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.A wall is 5 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.From a rectangle 9 cm long and 12 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.Each side of a square is 18 cm. What is its perimeter (in cm)?
8. 8.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
9. 9.From a rectangle 18 cm long and 5 cm wide, a rectangle 13 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.A rectangular field is 85 m long and 75 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.From a rectangle 11 cm long and 5 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.From a rectangle 12 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)?
13. 13.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
14. 14.A square has a perimeter of 32 cm. What is its area (in square cm)?
15. 15.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
18. 18.A square has a perimeter of 80 cm. What is its area (in square cm)?
19. 19.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
20. 20.From a rectangle 11 cm long and 9 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
23. 23.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
24. 24.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A wall is 11 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.From a rectangle 20 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)?
27. 27.A wall is 12 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A wall is 10 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A wall is 6 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.From a rectangle 12 cm long and 11 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A square has a perimeter of 44 cm. What is its area (in square cm)?
33. 33.The perimeter of a rectangle is 62 cm and its length is 20 cm. What is its width (in cm)?
34. 34.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
36. 36.A square has a perimeter of 28 cm. What is its area (in square cm)?
37. 37.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A wall is 7 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.The perimeter of a rectangle is 56 cm and its length is 23 cm. What is its width (in cm)?
40. 40.The perimeter of a rectangle is 68 cm and its length is 20 cm. What is its width (in cm)?

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