Question 302583
Area of a rectange = length * width 

Area = 104 ft^2

Let's length be L and width be w

L = w + 5 (The length of the room is 5 feet longer than the width.)

Area in term of L and w gives: w(w+5) 

Therefore,
w(w+5) = 104 

w^2 + 5w - 104 = 0 

(w + 13)(w-8) = 0 

w + 13 = 0 , w = - 13 (N/A)
or 
w - 8 = 0 , w = 8ft 

Length = (w + 5) = 8 + 5 = 13 ft

Answer: Length = 13 ft and width = 8 ft