Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 627 · 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 9 cm long and 8 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.The perimeter of a rectangle is 90 cm and its length is 27 cm. What is its width (in cm)?
3. 3.A wall is 9 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.The perimeter of a rectangle is 102 cm and its length is 28 cm. What is its width (in cm)?
5. 5.From a rectangle 10 cm long and 13 cm wide, a rectangle 7 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.From a rectangle 13 cm long and 7 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.A square has a perimeter of 56 cm. What is its area (in square cm)?
8. 8.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A square has a perimeter of 68 cm. What is its area (in square cm)?
10. 10.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A square has a perimeter of 28 cm. What is its area (in square cm)?
12. 12.A wall is 6 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?
14. 14.From a rectangle 10 cm long and 9 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
16. 16.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A square has a perimeter of 20 cm. What is its area (in square cm)?
19. 19.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
20. 20.A wall is 5 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
22. 22.A wall is 9 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A wall is 5 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A square has a perimeter of 52 cm. What is its area (in square cm)?
26. 26.From a rectangle 19 cm long and 12 cm wide, a rectangle 14 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.From a rectangle 11 cm long and 15 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)?
28. 28.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
29. 29.From a rectangle 10 cm long and 6 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A wall is 5 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.Each side of a square is 20 cm. What is its perimeter (in cm)?
33. 33.The perimeter of a rectangle is 70 cm and its length is 27 cm. What is its width (in cm)?
34. 34.The perimeter of a rectangle is 84 cm and its length is 24 cm. What is its width (in cm)?
35. 35.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A rectangular field is 75 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
39. 39.From a rectangle 17 cm long and 10 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 44 cm and its length is 14 cm. What is its width (in cm)?

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