Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 513 · 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 square has a perimeter of 24 cm. What is its area (in square cm)?
2. 2.Each side of a square is 6 cm. What is its perimeter (in cm)?
3. 3.A wall is 4 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A wall is 10 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
6. 6.Each side of a square is 4 cm. What is its perimeter (in cm)?
7. 7.From a rectangle 9 cm long and 7 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A wall is 10 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.From a rectangle 15 cm long and 9 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
14. 14.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
15. 15.A square has a perimeter of 12 cm. What is its area (in square cm)?
16. 16.A rectangular field is 95 m long and 65 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
18. 18.A rectangular field is 90 m long and 50 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A square has a perimeter of 8 cm. What is its area (in square cm)?
20. 20.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
21. 21.A wall is 11 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
24. 24.From a rectangle 16 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)?
25. 25.The perimeter of a rectangle is 56 cm and its length is 23 cm. What is its width (in cm)?
26. 26.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 ₹)?
27. 27.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.Each side of a square is 17 cm. What is its perimeter (in cm)?
29. 29.From a rectangle 7 cm long and 5 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)?
30. 30.A wall is 9 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
34. 34.The perimeter of a rectangle is 108 cm and its length is 28 cm. What is its width (in cm)?
35. 35.A wall is 10 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.From a rectangle 17 cm long and 12 cm wide, a rectangle 5 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A wall is 4 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.The perimeter of a rectangle is 80 cm and its length is 22 cm. What is its width (in cm)?
40. 40.A wall is 12 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?

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