Question

If the perimeter of a rectangular plot is $34$ metres and its area is $60$ square metres, what is the length of each of the shorter side?

• A. $10$ m
• B. $17$ m
• C. $15$ m
• D. $5$ m

Answer 1

The correct option is D $5$ m

Let the length be $x$, and breadth be $y.$
Therefore, $2(x+y)=34$
$x+y=17$
$y=17-x$
Hence, Area $=x(17-x)$ $=60$
$17x-x^2=60$
$x^2-17x+60=0$
$x^2-12x-5x+60=0$
$x(x-12)-5(x-12)=0$
$(x-5)(x-12)=0$
Hence the sides are $12$ m and $5$ m.