Question

The length of a rectangular field is $3$ times its breadth. If the area of the field is $147m^2$, find its length.

Answer 1

Let the breadth of rectangular field be $b$ $m$
By given, its length is $3b$ $m$
Now area of the field$=147$
$l\times b=147$
$3b\times b=147$
$3b^2=147$
$b^2=\frac{147}{3}$
$b^2=49$
$b=\pm \sqrt{49}=\pm 7$
$\therefore$ Length of field$=3b$
$=3\times 7$
$=21m$