Question

the length of a room exceeds its breadth by 3M if the length is increased by 3 m and breadth is decreased by 2 metre the area remains same find the length and breadth of the room

Answer 1

Let Length of room =l m
__Breadth of room = l-3 m


Area of rectangular room = l×(l-3)= l^2-3l


Length of new room = l+3

Breadth of new room = (l-3) -2 = (l-5)


Area of new room= (l+3)×(l-5)= l^2-2l-15


ATQ

Area of old room = Area of new room

l^2-3l = l^2-2l-15
l=15

Breadth = l-3= 15-3=12


so length and breadth of the room are 15 & 12 respectively.