Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 467 · 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 8 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.From a rectangle 6 cm long and 9 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.From a rectangle 17 cm long and 12 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
5. 5.A square has a perimeter of 52 cm. What is its area (in square cm)?
6. 6.From a rectangle 17 cm long and 13 cm wide, a rectangle 6 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A wall is 12 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A wall is 10 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
14. 14.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
15. 15.A square has a perimeter of 44 cm. What is its area (in square cm)?
16. 16.From a rectangle 9 cm long and 9 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
19. 19.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.From a rectangle 10 cm long and 6 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.Each side of a square is 7 cm. What is its perimeter (in cm)?
22. 22.From a rectangle 6 cm long and 5 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)?
23. 23.The perimeter of a rectangle is 60 cm and its length is 26 cm. What is its width (in cm)?
24. 24.The perimeter of a rectangle is 74 cm and its length is 19 cm. What is its width (in cm)?
25. 25.From a rectangle 18 cm long and 9 cm wide, a rectangle 15 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.The perimeter of a rectangle is 110 cm and its length is 28 cm. What is its width (in cm)?
28. 28.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.From a rectangle 9 cm long and 7 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)?
30. 30.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
31. 31.From a rectangle 12 cm long and 14 cm wide, a rectangle 10 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
33. 33.From a rectangle 15 cm long and 11 cm wide, a rectangle 1 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.The perimeter of a rectangle is 62 cm and its length is 23 cm. What is its width (in cm)?
36. 36.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.From a rectangle 20 cm long and 15 cm wide, a rectangle 6 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
39. 39.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.From a rectangle 14 cm long and 8 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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