Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 569 · 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 55 m long and 30 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.From a rectangle 9 cm long and 15 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.From a rectangle 13 cm long and 8 cm wide, a rectangle 10 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.From a rectangle 12 cm long and 8 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.From a rectangle 9 cm long and 9 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)?
6. 6.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
7. 7.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.The perimeter of a rectangle is 82 cm and its length is 22 cm. What is its width (in cm)?
9. 9.A square has a perimeter of 8 cm. What is its area (in square cm)?
10. 10.A square has a perimeter of 48 cm. What is its area (in square cm)?
11. 11.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.From a rectangle 13 cm long and 12 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
15. 15.From a rectangle 10 cm long and 9 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A wall is 11 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A rectangular field is 100 m long and 85 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
19. 19.The perimeter of a rectangle is 36 cm and its length is 10 cm. What is its width (in cm)?
20. 20.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 62 cm and its length is 21 cm. What is its width (in cm)?
22. 22.A wall is 3 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A wall is 10 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.A square has a perimeter of 44 cm. What is its area (in square cm)?
25. 25.Each side of a square is 9 cm. What is its perimeter (in cm)?
26. 26.A wall is 3 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A wall is 12 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A square has a perimeter of 56 cm. What is its area (in square cm)?
29. 29.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
30. 30.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.The perimeter of a rectangle is 44 cm and its length is 14 cm. What is its width (in cm)?
32. 32.A square has a perimeter of 72 cm. What is its area (in square cm)?
33. 33.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.From a rectangle 9 cm long and 9 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A wall is 3 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
37. 37.The perimeter of a rectangle is 60 cm and its length is 19 cm. What is its width (in cm)?
38. 38.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A square has a perimeter of 52 cm. What is its area (in square cm)?
40. 40.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?

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