Question

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.40
B.50
C.120
D.Data inadequate

Answer 1

$\huge\red{Answer\: is}$
Let the breadth is x m
so length is =( x + 20) m

Perimeter of the plot = 2( l + b )
$= 2(x + x + 20) \\ = 2(2x + 20)$
Cost of fencing @ 26.50 per m which is Rs 5300

So ATQ
$26.50 \times 2(2x + 20) = 5300 \\ 2x + 20 = \frac{5300}{26.50 \times 2} \\ 2x + 20 = 100 \\ 2x = 100 - 20 \\ 2x = 80 \\ x = \frac{80}{2} \\ x = 40 \\ so \: the \: length \: is \: 40 + 20 \\ = 60 \: m$
So The Option D is your answer which is Data inadequate as length of the plot is 60 m

Hope it helps you