Question 1003571
Study this lesson:
<a href="http://www.algebra.com/my/FIND-RECTANGLE-DIMENSIONS-USING-GIVEN-PERIMETER-AND-AREA.lesson?content_action=show_dev">http://www.algebra.com/my/FIND-RECTANGLE-DIMENSIONS-USING-GIVEN-PERIMETER-AND-AREA.lesson?content_action=show_dev</a>


More specifically you can solve this system:
{{{system(2x+2y=33,xy=65)}}} using the dimensions as x and y.



You should obtain a quadratic equation, {{{2x^2-33x+130=0}}} and find the dimensions are  {{{13/2}}} and {{{10}}}.



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The quadratic equation is not factorable with integer constants.  Use the formula for general solution to a quadratic equation.  The two roots are the dimensions of the rectangle.  The values will come directly from the use of the formula to solution of a quadratic equation.
{{{x=(33+- 7)/4}}}