Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 332 · 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 11 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)?
2. 2.From a rectangle 6 cm long and 14 cm wide, a rectangle 3 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.A wall is 6 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A wall is 12 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A square has a perimeter of 36 cm. What is its area (in square cm)?
6. 6.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
7. 7.The perimeter of a rectangle is 40 cm and its length is 14 cm. What is its width (in cm)?
8. 8.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹19 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.From a rectangle 19 cm long and 15 cm wide, a rectangle 10 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A wall is 8 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.A square has a perimeter of 48 cm. What is its area (in square cm)?
13. 13.A wall is 4 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A square has a perimeter of 44 cm. What is its area (in square cm)?
15. 15.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
16. 16.From a rectangle 8 cm long and 8 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)?
17. 17.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A square has a perimeter of 56 cm. What is its area (in square cm)?
20. 20.Each side of a square is 13 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 72 cm and its length is 28 cm. What is its width (in cm)?
22. 22.From a rectangle 14 cm long and 12 cm wide, a rectangle 4 cm by 4 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 74 cm and its length is 28 cm. What is its width (in cm)?
24. 24.Each side of a square is 14 cm. What is its perimeter (in cm)?
25. 25.The perimeter of a rectangle is 66 cm and its length is 22 cm. What is its width (in cm)?
26. 26.From a rectangle 8 cm long and 8 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.A wall is 10 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.The perimeter of a rectangle is 78 cm and its length is 21 cm. What is its width (in cm)?
29. 29.A wall is 4 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A square has a perimeter of 72 cm. What is its area (in square cm)?
31. 31.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
32. 32.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.From a rectangle 15 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)?
34. 34.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
35. 35.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.From a rectangle 11 cm long and 6 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)?
37. 37.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.The perimeter of a rectangle is 82 cm and its length is 29 cm. What is its width (in cm)?
40. 40.The perimeter of a rectangle is 38 cm and its length is 15 cm. What is its width (in cm)?

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