Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 72 · 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 6 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.From a rectangle 9 cm long and 15 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.A square has a perimeter of 68 cm. What is its area (in square cm)?
4. 4.From a rectangle 20 cm long and 12 cm wide, a rectangle 8 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.A wall is 9 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A square has a perimeter of 60 cm. What is its area (in square cm)?
7. 7.A wall is 5 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
9. 9.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
10. 10.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
11. 11.A rectangular field is 100 m long and 90 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.The perimeter of a rectangle is 74 cm and its length is 20 cm. What is its width (in cm)?
13. 13.A wall is 6 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A wall is 12 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
16. 16.From a rectangle 9 cm long and 12 cm wide, a rectangle 5 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.From a rectangle 13 cm long and 6 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A square has a perimeter of 8 cm. What is its area (in square cm)?
19. 19.A square has a perimeter of 72 cm. What is its area (in square cm)?
20. 20.A wall is 9 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A square has a perimeter of 40 cm. What is its area (in square cm)?
22. 22.From a rectangle 14 cm long and 6 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.A wall is 3 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.From a rectangle 20 cm long and 5 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.From a rectangle 19 cm long and 8 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)?
26. 26.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
27. 27.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.From a rectangle 19 cm long and 7 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.From a rectangle 13 cm long and 7 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A wall is 9 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A wall is 9 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.From a rectangle 8 cm long and 6 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
36. 36.A square has a perimeter of 48 cm. What is its area (in square cm)?
37. 37.A wall is 7 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.The perimeter of a rectangle is 32 cm and its length is 10 cm. What is its width (in cm)?
39. 39.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
40. 40.From a rectangle 13 cm long and 14 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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