Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 6 · 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 25 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
3. 3.The perimeter of a rectangle is 40 cm and its length is 18 cm. What is its width (in cm)?
4. 4.The perimeter of a rectangle is 50 cm and its length is 19 cm. What is its width (in cm)?
5. 5.A wall is 4 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A square has a perimeter of 76 cm. What is its area (in square cm)?
7. 7.Each side of a square is 8 cm. What is its perimeter (in cm)?
8. 8.The perimeter of a rectangle is 64 cm and its length is 19 cm. What is its width (in cm)?
9. 9.A square has a perimeter of 60 cm. What is its area (in square cm)?
10. 10.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
11. 11.From a rectangle 13 cm long and 11 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.Each side of a square is 7 cm. What is its perimeter (in cm)?
14. 14.A rectangular field is 90 m long and 50 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A wall is 8 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A square has a perimeter of 68 cm. What is its area (in square cm)?
17. 17.From a rectangle 18 cm long and 12 cm wide, a rectangle 15 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.From a rectangle 13 cm long and 8 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.A square has a perimeter of 24 cm. What is its area (in square cm)?
21. 21.From a rectangle 6 cm long and 9 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.Each side of a square is 3 cm. What is its perimeter (in cm)?
23. 23.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
25. 25.The perimeter of a rectangle is 44 cm and its length is 15 cm. What is its width (in cm)?
26. 26.From a rectangle 11 cm long and 7 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.From a rectangle 11 cm long and 9 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.From a rectangle 13 cm long and 6 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.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
30. 30.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.From a rectangle 17 cm long and 6 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.From a rectangle 7 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.From a rectangle 13 cm long and 11 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)?
34. 34.From a rectangle 11 cm long and 11 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)?
35. 35.A wall is 4 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.From a rectangle 10 cm long and 9 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
38. 38.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.From a rectangle 18 cm long and 10 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)?

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