<PRE><B>Question 1151482</B>
&lt;br&gt;
If the width is x, then the length (5 more than twice the width) is 2x+5.&lt;br&gt;
Then the equation is area = length times width:&lt;br&gt;
{{{817 = x(2x+5)}}}&lt;br&gt;
Since the problem only asks for an equation that represents the given relationship, you can stop there.&lt;br&gt;
But continuing to solve the problem can be good problem-solving exercise.&lt;br&gt;
{{{817 = 2x^2+5x}}}
{{{2x^2+5x-817 = 0}}}&lt;br&gt;
You can solve that using the quadratic formula; but the calculations are ugly.&lt;br&gt;
Or you can solve it by factoring; but with those numbers it is very difficult.&lt;br&gt;
So you might as well skip the algebraic solution method and simply find two numbers with a product of 817 that satisfy the condition that the larger is 5 more than twice the smaller.&lt;br&gt;
One way or another (possibly using an online calculator) find that the prime factorization is 817 = 43*19.&lt;br&gt;
Then 43*19 is the only pair of whole numbers (other than 817*1) with a product of 817.&lt;br&gt;
And since 43 and 19 satisfy the given condition, those are the dimensions of the rectangle.</PRE>