A contractor is installing carpet in a new house. The rectangular living room has an area of 96 square feet, and the length is twelve feet less than three times the width of the room.

Question

WHAT ARE THE DIMENSIONS OF THE ROOM?

Answer 1

The area of the room is L*W=96

the length L=3W-12 so (3W-12)*W=96; 3W^2-12W=96; W^2-4W=32: W^2-4W-32=0: (W-8)*(W+4)=0

so W=8, L=3*8-12=12