1. The length of a rectangular room is 8 meters more than the width. If the area of the room is 48 square meters, find the dimensions of the room.

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.