Question

The length of a rectangular hall is 5 cm more than its breadth. If the area of the hall is 750 cm${}^2$, then its length is:

Answer 1

Let the length $=x$ m. Then, breadth $=(x-5)$ m.

Therefore,

$x(x-5)=750$

$x^2-5x-750=0$

$x^2-30x+25x-750=0$

$x(x-30)+25(x-30)=0$

$(x-30)(x+25)=0$

Therefore,

$x=30$ {Length can not be negative}

Therefore, length is $30$ cm.