SOLUTION: A triangular window has an area of 600 in2. The base of the window is three times its height. What is the length of the base of the window?

Algebra ->  Surface-area -> SOLUTION: A triangular window has an area of 600 in2. The base of the window is three times its height. What is the length of the base of the window?       Log On


   

Question 1199354: A triangular window has an area of 600 in2. The base of the window is three times its height.

What is the length of the base of the window?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let the length of the base be x inches.


Then the height of the window is  h = %281%2F3%29x inches.


The area equation is


    %281%2F2%29%2Ax%2Ah = 600  in^2,   or

    %281%2F2%29%2Ax%2A%281%2F3%29%2Ax = 600

    %281%2F6%29%2Ax%5E2 = 600

    x%5E2 = 6*600 = 3600

    x = sqrt%283600%29 = 60.


ANSWER.  The base of the window is 60 inches.

Solved.