Question

The length of rectangle is twice its breadth and its areas is $288{cm}^2$ . Find the dimension of the rectangle.

Answer 1

Let the length and breadth of the rectangle be $2x$ m and $x$ m, respectively.

According to the question:

$2x\times x=288$

$\Rightarrow 2x^2=288$

$\Rightarrow x^2=144$

$\Rightarrow x=12$ or $x=-12$

$\Rightarrow x=12$ ($\because x$ cannot be negative)

$\therefore$ Length $=2\times 12=24$m

Breadth$=12$m