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.Com
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)   (Show Source): You can put this solution on YOUR website!
y height
x width
Answer by ikleyn(52781)   (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.



RELATED QUESTIONS

The height of a garage door measures four feet less than the door’s width. The area of... (answered by mananth)
The width of a garage is five feet less than twice the length. What is the length of the... (answered by chana)
The height of a door is 1.6 feet longer than its width and its front area(neglecting... (answered by jorel1380)
The height of a door is 2.3 feet longer than its​ width, and its front area is... (answered by rapture)
The height of a door is 1.3 feet longer than its​ width, and its front area is... (answered by MathLover1,ikleyn)
The area of a rectangular door is 20.77 square feet. The width of the door is 3.6 feet... (answered by macston)
The area of the car garage is 480 ft2. The length of the garage is 4 feet more than the... (answered by josgarithmetic,ikleyn)
carlos is building a screen door. the height of the door is 1 foot more than twice its... (answered by robertb)
The perimeter of a garage is 80 feet. The height is 10 feet. What is the lateral surface... (answered by JulietG)