<PRE><B>Question 1174204</B>
&lt;br&gt;
{{{w(w+30) = 10591}}}
{{{w^2+30w-10591 = 0}}}&lt;br&gt;
You can try to factor this, by finding two numbers whose product is 10591 and whose difference is 30.  But that is what the original problem asks you to do -- so the use of formal algebra doesn&#39;t get you any closer to the solution.&lt;br&gt;
Alternatively, you can always solve a quadratic equation using the quadratic formula.  But with this equation, the calculations are ugly.&lt;br&gt;
By far the easiest way to solve the problem is to find the prime factorization of 10591 and use it to find the solution.&lt;br&gt;
There are many prime factorization calculators on the internet; they will show you&lt;br&gt;
10591 = 7*17*89&lt;br&gt;
It takes only a moment to combine the first two prime factors to find the solution to the problem:&lt;br&gt;
10591 = 119*89&lt;br&gt;
ANSWER: the dimensions of the rectangular screen are 89 by 119 feet.&lt;br&gt;
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