Question

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.

Answer 1

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.