SOLUTION: The height of a garage door measures four feet less than the door’s width. The area of the garage door is 165 square feet. Determine the height and width of the garage door.

Question 1182024: The height of a garage door measures four feet less than the door’s width. The area of the garage door is 165 square feet. Determine the height and width of the garage door.
i need the complete algebraic work for this or it won't be graded
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

The height of a garage door measures four feet less than the door’s width.
let door's width be w
height of door will be w-4
The area of the garage door is 165 square feet.
Area of door = L * W
165 = w(w-4)
165 =w^2-4w
w^2-4w -165 =0
w^2 -15w+11w-165=0
w(w-15) +11(w-15)=0
(w-15)(w+11)=0
w =15 0r -11
ignore negative, door cannot have negative width
width =15 ft.
length = 15-4 = 11 ft

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