Answer:
let the breadth of room be 'x'm
so the lenghth of room is 'x+8'm
Given
Area of room=48m²
i.e length ×breadth =48m²
or,(x+8)x=48
or,x²+8x-48=0
or,x²+12x-4x-48=0
or,x(x+12)-4(x+12)=0
or,(x+12)(x-4)=0
Either x+12=0
or,x=-12(which is not possible)
Or,x-4=0
or,x=4
Thus,breadth is 4m.
length=x+8=4+8=12m
The dimensions of room are 8m and 12m respectively.
