<PRE><B>Question 737906</B>
Area of a rectangle is length x width.&lt;P&gt;
x * (4x+16) = 180&lt;P&gt;
{{{4x^2 + 16x = 180}}}&lt;P&gt;
{{{4x^2 + 16x - 180 = 0}}}&lt;P&gt;
{{{x^2 + 4x - 45 = 0}}}&lt;P&gt;
(x+9)(x-5) = 0&lt;P&gt;
x = -9 and x = 5&lt;P&gt;
-9 gives negative values for length and width.  In the real world objects don&#39;t have negative lengths and widths.&lt;P&gt;
x=5 so the width is 5 and the length is 4(5)+16 = 36
 &lt;P&gt;Hope the solution helped.  Sometimes you need more than a solution.  Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)</PRE>