length of a rectangular storage room is 6 feet longer thank its width. the area of the room is 91 square feet. use equation w(w+6)=91 to find its dimensions

Question

solve problem and show full work for the credit 

Answer 1

Area = length x width

 

91 =   L * w = Lw

 

91 =    w(w+6)

 

91 = w^2 + 6w

 

0 = w^2 + 6w - 91

 

0 = (  w   +     13 )(w    -    7  )

 

w + 13 = 0 ---> w=-13; disqualified; rejected; width cannot be negative

 

w - 7 = 0 ---> w=7; width is 7

 

length is 13