Question 92

The length of a rectangular plot is 20 m more than its breadth. If the cost of fencing the plot at Rs.26.50 per metre is Rs.5300, what is the length of the plot in metres ?

Solution

Let say , Breadth is b.

So, Length = (b+20).

So, Perimeter of rectangular plot is =$$2\left(b+20+b\right)=\left(4b+40\right)\ m.$$

So, $$\left(4b+40\ \right)\times26.50=5300$$

or, $$4b+40\ =\frac{5300}{26.5}=200.$$

or,$$b+10\ =50.$$

or, $$b=40.$$

So, Length is 60 m.

C is correct choice.

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