Question 110061
A rectangular room is 14 feet narrower than its length.  If 392 square feet of carpet is needed to cover the entire room, what is the length of the room?
L=length of room
W=width=L-14
area = 392
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L(L-14)=392
{{{L^2-14L-392=0}}}
(L-28)(L+14)=0
L-28=0
L=28
L+14=0
L=-14
It can not be negative, so the length = 28
Width= L-14
28-14=14
:)