Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 674 · 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 rectangular field is 20 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A square has a perimeter of 16 cm. What is its area (in square cm)?
3. 3.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 ₹)?
4. 4.A square has a perimeter of 72 cm. What is its area (in square cm)?
5. 5.A wall is 11 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
8. 8.From a rectangle 10 cm long and 14 cm wide, a rectangle 2 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.A wall is 9 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A wall is 12 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
12. 12.From a rectangle 18 cm long and 7 cm wide, a rectangle 13 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
14. 14.From a rectangle 6 cm long and 12 cm wide, a rectangle 2 cm by 2 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 pentagon is 8 cm. What is its perimeter (in cm)?
16. 16.The perimeter of a rectangle is 98 cm and its length is 26 cm. What is its width (in cm)?
17. 17.A wall is 5 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
19. 19.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
20. 20.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
21. 21.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
22. 22.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
23. 23.A rectangular field is 80 m long and 40 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.Each side of a square is 12 cm. What is its perimeter (in cm)?
25. 25.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
26. 26.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
27. 27.The perimeter of a rectangle is 52 cm and its length is 20 cm. What is its width (in cm)?
28. 28.From a rectangle 15 cm long and 11 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.From a rectangle 7 cm long and 13 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)?
30. 30.From a rectangle 8 cm long and 14 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)?
31. 31.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
32. 32.From a rectangle 6 cm long and 6 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)?
33. 33.A square has a perimeter of 28 cm. What is its area (in square cm)?
34. 34.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?
35. 35.A wall is 10 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A wall is 11 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
39. 39.A square has a perimeter of 8 cm. What is its area (in square cm)?
40. 40.A wall is 11 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?

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