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.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> 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.       Log On


   

Question 1182007: 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.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y height
x width
system%28y=x-4%2Cx%28x-4%29=165%29

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

The answer is 11 ft for the width and 15 ft for the height.



It can be easily guessed MENTALLY, or obtained from the solution 

of this quadratic equation


    x*(x-4) = 165,


where x is the width of the garage door.

Solved.