Question

The breadth of a rectangular plot is one-third of its length. If the perimeter of the plot is $240$ metres. What is the length of the plot?

• A. $80$ metres
• B. $240$ metres
• C. $90$ metres
• D. $100$ metres

Answer 1

The correct option is C $90$ metres

Breadth $=\frac{1}{3}\times$ Length
$\Rightarrow$ Length $=3\times$ Breadth
Given, $2($Length $+$ Breadth$)=240m$
$\Rightarrow$ $2(3\times$ Breadth $+$ Breadth$)=240m$
$\Rightarrow$ $8\times$ Breadth $=240\Rightarrow$ Breadth $=30m$
$\Rightarrow$ Length $=3\times$ Breadth $=90$ metres.