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1. 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 Rs. 5300, what is the length of the plot in metres?

A. 40m

B. 50m

C. 120m

D. Data inadequate

Solution:

\begin{aligned} Let breadth = x metres \\ Then, length = (x + 20) metres \\ Perimeter = \frac{5300}{26.50} m = 200 m \\ ∴ 2 [(x + 20) + x] = 200 \\ \Rightarrow 2 x + 20 = 100 \\ \Rightarrow 2 x = 80 \\ \Rightarrow x = 40 \\ Hence, length = x + 20 = 60 m \end{aligned}

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