The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ `… · ABC26GN4308

Subject: General Aptitude · Chapter: Area

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

(a)40

(b)50

(c)120

(d)Data inadequate

(e)None of these

Answer

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Explanation

Let breadth = $x$ metres. Then, length $=(x+20)$ metres $$\text { Perimeter }=\left(\frac{5300}{26.50}\right) \mathrm{m}=200 \mathrm{m} .$$ $$\begin{aligned} \therefore 2[(x+20)+x]=200 & \Leftrightarrow 2 x+20=100 \Leftrightarrow 2 x=80 \\ & \Leftrightarrow x=40 . \end{aligned}$$ Hence, length $=x+20=60 \mathrm{m}$.

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