Question

The length of a rectangular field is twice its breadth. If the perimeter of the field is $150m$, find its length and breadth.

Answer 1

Let the length and breadth of the rectangular field be $l$ and $b$ respectively.

According to the question, we have

$2(l+b)=150\dots \dots \left(i\right)$ [$\because$ Perimeter $=150m$]

$\Rightarrow l+b=75$

Given that, $l=2b\dots \dots \left(ii\right)$

Using $eq.\left(ii\right)$ in $\left(i\right),$ we have

$2b+b=75$

$\Rightarrow 3b=75$

$\Rightarrow b=25$

Now, $l+25=75$

$\therefore l=50$

Hence, the length and breadth of the given rectangle are $50m$ and $25m$ respectively.