Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 176 · 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 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
4. 4.A square has a perimeter of 32 cm. What is its area (in square cm)?
5. 5.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
6. 6.Each side of a square is 9 cm. What is its perimeter (in cm)?
7. 7.The perimeter of a rectangle is 40 cm and its length is 12 cm. What is its width (in cm)?
8. 8.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
9. 9.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
10. 10.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
11. 11.The perimeter of a rectangle is 76 cm and its length is 26 cm. What is its width (in cm)?
12. 12.Each side of a square is 5 cm. What is its perimeter (in cm)?
13. 13.A square has a perimeter of 44 cm. What is its area (in square cm)?
14. 14.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
15. 15.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
16. 16.A rectangular field is 100 m long and 65 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.Each side of a square is 6 cm. What is its perimeter (in cm)?
18. 18.From a rectangle 14 cm long and 14 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A square has a perimeter of 24 cm. What is its area (in square cm)?
23. 23.The perimeter of a rectangle is 52 cm and its length is 20 cm. What is its width (in cm)?
24. 24.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
25. 25.A rectangular field is 100 m long and 95 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.Each side of a square is 13 cm. What is its perimeter (in cm)?
28. 28.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 ₹)?
29. 29.From a rectangle 18 cm long and 14 cm wide, a rectangle 15 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 3 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A wall is 4 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A wall is 3 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A wall is 11 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A rectangular field is 90 m long and 55 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A wall is 5 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.Each side of a square is 12 cm. What is its perimeter (in cm)?
39. 39.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
40. 40.A wall is 7 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?

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