SOLUTION: 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?

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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?
Answer by elima(1433)   (Show Source): You can put this solution on YOUR website!
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
===================
L(L-14)=392

(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
:)

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