Question

The length of a room exceeds its breadth by 3 metres. If length is increased by 3 metres and breadth is decreased by 2 metres, the area of the room remains the same. Find length and breadth of the room.

Answer 1

Let the breadth of the room be $x$ m.

Therefore, the length $=x+3m$

According to the given condition,

$x(x+3)=(3+x+3)(x-2)$

$3x+x^2=(6+x)(x-2)$

$3x+x^2=6x-12+x^2-2x$

$x=12$

Therefore, length = $x+3=15m$

Breadth = $x=12m$