The length of a plot is five times its breadth. A playground measuring 245 square meters occupies half of the total area of the plot. What is the length of the plot?
The length of a plot is five times its breadth. A playground measuring 245 square meters occupies half of the total area of the plot. What is the length of the plot?
[A]$latex 5\sqrt{2} m$
[B]$latex 175\sqrt{2} m$
[C]$latex 35\sqrt{2} m$
[D]$latex 490 m$
$latex \mathbf{35\sqrt{2} m}$
Let breadth of plot = x m
∴ lenght = 5x m
As per the question,
$latex \frac{5x^{2}}{2} = 245&s=1$
$latex => x^{2} = \frac{245\times 2}{5} = 98&s=1$
$latex => x = 7 \sqrt{2} m$
$latex \therefore length = 5\times 7\sqrt{2} = 35\sqrt{2}m$
Hence option [C] is the right answer.