Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 424 · 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 45 m long and 40 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.From a rectangle 17 cm long and 11 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.A wall is 7 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.The perimeter of a rectangle is 42 cm and its length is 19 cm. What is its width (in cm)?
5. 5.From a rectangle 20 cm long and 8 cm wide, a rectangle 13 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.From a rectangle 6 cm long and 8 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)?
7. 7.A square has a perimeter of 28 cm. What is its area (in square cm)?
8. 8.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
9. 9.The perimeter of a rectangle is 44 cm and its length is 14 cm. What is its width (in cm)?
10. 10.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
11. 11.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A square has a perimeter of 52 cm. What is its area (in square cm)?
13. 13.A square has a perimeter of 36 cm. What is its area (in square cm)?
14. 14.From a rectangle 12 cm long and 10 cm wide, a rectangle 9 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.A square has a perimeter of 56 cm. What is its area (in square cm)?
16. 16.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.From a rectangle 6 cm long and 7 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A wall is 4 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A square has a perimeter of 24 cm. What is its area (in square cm)?
20. 20.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
21. 21.From a rectangle 10 cm long and 10 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.From a rectangle 11 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)?
24. 24.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
25. 25.A rectangular field is 85 m long and 45 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.From a rectangle 11 cm long and 13 cm wide, a rectangle 9 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.The perimeter of a rectangle is 46 cm and its length is 13 cm. What is its width (in cm)?
28. 28.From a rectangle 18 cm long and 13 cm wide, a rectangle 7 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.A wall is 6 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
31. 31.The perimeter of a rectangle is 42 cm and its length is 13 cm. What is its width (in cm)?
32. 32.A rectangular field is 65 m long and 55 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A wall is 9 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A square has a perimeter of 20 cm. What is its area (in square cm)?
36. 36.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.From a rectangle 20 cm long and 5 cm wide, a rectangle 15 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.Each side of a square is 7 cm. What is its perimeter (in cm)?
39. 39.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.The perimeter of a rectangle is 78 cm and its length is 24 cm. What is its width (in cm)?

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