If the cost of fencing a square plot at the rate of $2.50$ per metre is $200$, then find the length of each side of the field.


Given:

The cost of fencing a square plot at the rate of $2.50$ per metre is $200$.

To do:

We have to find the length of each side of the field.

Solution:

Let the length of each side of the square plot be $x$.

This implies,

The perimeter of the plot $=4\times x=4x$

Rate of fencing per metre $=Rs.\ 2.50$

This implies,

Cost of fencing the square plot of perimeter $4x = Rs.\ 2.50\times4x$

$=Rs.\ 10x$

Therefore,

$10x=200$

$x=\frac{200}{10}$

$x=20$

The length of each side of the field is $20\ m$.

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Updated on: 10-Oct-2022

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