<PRE><B>Question 357105</B>
Let l be the length.  Let w be the width. &lt;br&gt;

Thus, we know:&lt;br&gt;

{{{l*w=84}}} and {{{l=w+5}}}&lt;br&gt;

We can use this information to solve:&lt;br&gt;

{{{(w+5)*w=84}}}&lt;br&gt;

{{{w^2+5w=84}}}&lt;br&gt;

{{{w^2+5w-84=0}}}&lt;br&gt;

We then need to factor this equation, or use the quadratic formula, like this:&lt;br&gt;

*[invoke quadratic &quot;x&quot;, 1, 5, -84]&lt;br&gt;

Since the width has to be a positive number, we know that the width is 7, and we can discard the -12 solution.&lt;br&gt;

Then, we have:&lt;br&gt;

{{{l=w+5}}}&lt;br&gt;

{{{l=7+5}}}&lt;br&gt;

{{{l=12}}}&lt;br&gt;

Then, our answer is: the length is 12 cm, and the width is 7 cm.&lt;br&gt;

I hope this helps!&lt;br&gt;</PRE>