Question 1199354
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<pre>

Let the length of the base be x inches.


Then the height of the window is  h = {{{(1/3)x}}} inches.


The area equation is


    {{{(1/2)*x*h}}} = 600  in^2,   or

    {{{(1/2)*x*(1/3)*x}}} = 600

    {{{(1/6)*x^2}}} = 600

    {{{x^2}}} = 6*600 = 3600

    x = {{{sqrt(3600)}}} = 60.


<U>ANSWER</U>.  The base of the window is 60 inches.
</pre>

Solved.