Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 246 · 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 wall is 11 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A rectangular field is 100 m long and 80 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
5. 5.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.From a rectangle 6 cm long and 12 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)?
7. 7.A square has a perimeter of 24 cm. What is its area (in square cm)?
8. 8.A square has a perimeter of 72 cm. What is its area (in square cm)?
9. 9.From a rectangle 15 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)?
10. 10.A wall is 3 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A square has a perimeter of 60 cm. What is its area (in square cm)?
12. 12.A wall is 4 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.From a rectangle 19 cm long and 5 cm wide, a rectangle 12 cm by 2 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 32 cm. What is its area (in square cm)?
16. 16.A wall is 4 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of a square is 5 cm. What is its perimeter (in cm)?
21. 21.From a rectangle 20 cm long and 8 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A square has a perimeter of 44 cm. What is its area (in square cm)?
23. 23.A square has a perimeter of 52 cm. What is its area (in square cm)?
24. 24.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
25. 25.A square has a perimeter of 36 cm. What is its area (in square cm)?
26. 26.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.Each side of a square is 3 cm. What is its perimeter (in cm)?
29. 29.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A wall is 7 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.From a rectangle 12 cm long and 5 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)?
32. 32.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.The perimeter of a rectangle is 56 cm and its length is 15 cm. What is its width (in cm)?
34. 34.The perimeter of a rectangle is 72 cm and its length is 20 cm. What is its width (in cm)?
35. 35.A square has a perimeter of 20 cm. What is its area (in square cm)?
36. 36.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹13 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 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.The perimeter of a rectangle is 46 cm and its length is 16 cm. What is its width (in cm)?
39. 39.From a rectangle 11 cm long and 10 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?

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