A man spent Rs. 1015.625 on weeding a square at the rate of Rs. 6.50 per m2. How much will it cost to fence it at the rate of Rs. 8.25 per m?

Respuesta :

The total cost of fencing will cost 412.5 rupees

Step-by-step explanation:

Given

Total amount = 1015.625 Rupees

Rate per m^2 = 6.50

First of all we have to divide the total amount by per meter rate to find the area of the square.

So,

[tex]Area = \frac{Total\ amount}{per\ meter\ amount}\\=\frac{1015.625}{6.50}\\=156.25\ m^2[/tex]

Now we have to find the side of the square

So,

[tex]s = \sqrt{A}\\s = \sqrt{156.25}\\s = 12.5\ meters[/tex]

For fencing, we have to find the perimeter first

So,

[tex]P = 4s\\= 4 * 12.5\\= 50\ meters[/tex]

Rate of fencing per meter = 8.25 rupees

So total cost of fencing will be:

[tex]= 50 * 8.25\\=412.5\ rupees[/tex]

So,

The total cost of fencing will cost 412.5 rupees

Keywords: Perimeter, area

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