Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 468 · 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 10 cm long and 7 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)?
2. 2.A wall is 12 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A square has a perimeter of 20 cm. What is its area (in square cm)?
5. 5.A wall is 6 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A rectangular field is 100 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.From a rectangle 19 cm long and 7 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.The perimeter of a rectangle is 50 cm and its length is 17 cm. What is its width (in cm)?
9. 9.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
10. 10.The perimeter of a rectangle is 54 cm and its length is 19 cm. What is its width (in cm)?
11. 11.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
12. 12.A square has a perimeter of 36 cm. What is its area (in square cm)?
13. 13.A square has a perimeter of 80 cm. What is its area (in square cm)?
14. 14.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
15. 15.A square has a perimeter of 8 cm. What is its area (in square cm)?
16. 16.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A wall is 3 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A wall is 12 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.Each side of a square is 10 cm. What is its perimeter (in cm)?
20. 20.The perimeter of a rectangle is 114 cm and its length is 29 cm. What is its width (in cm)?
21. 21.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
22. 22.From a rectangle 8 cm long and 15 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.From a rectangle 10 cm long and 13 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)?
24. 24.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
25. 25.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
26. 26.A wall is 6 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A wall is 5 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A wall is 5 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
32. 32.A wall is 9 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
34. 34.From a rectangle 9 cm long and 8 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A square has a perimeter of 72 cm. What is its area (in square cm)?
36. 36.Each side of a square is 12 cm. What is its perimeter (in cm)?
37. 37.From a rectangle 20 cm long and 11 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
40. 40.A wall is 5 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?

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