<PRE><B>Question 552088</B>
&lt;br&gt;&lt;font face=&quot;Tahoma&quot;&gt;In this problem, we have 2 unknowns, and 1 known.&lt;br&gt;

We don&#39;t know the length or the width exactly, though we do know how they are related.&lt;br&gt;

We do know the diagonal is 10 inches.&lt;br&gt;

We can solve this by drawing a sketch and using the Pythagorean Theorem!!!&lt;br&gt;

Let L be the length.  Let W be the width.&lt;br&gt;

{{{L=3W}}} given&lt;br&gt;

{{{(3W)^2+W^2=10^2}}} length squared plus width squared equals diagonal squared&lt;br&gt;

{{{9W^2+W^2=100}}}&lt;br&gt;

{{{10W^2=100}}}&lt;br&gt;

{{{W^2=10}}}&lt;br&gt;

{{{W=sqrt(10)}}} or {{{W=-sqrt(10)}}}&lt;br&gt;

Since lengths MUST be positive, we can discard the second answer of -10.&lt;br&gt;

So it looks like our width is {{{sqrt(10)}}} inches.&lt;br&gt;

Then our length is simply {{{3*sqrt(10)}}} inches.&lt;br&gt;

I hope this helps!  :)&lt;br&gt;

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