Question 672196
<br><font face="Tahoma">This is a system of 2 equations using geometrical formulae:<br>

{{{P=2L+2W}}}<br>

{{{A=L*W}}}<br>

So we have:<br>

{{{34=2L+2W}}} and {{{72=L*W}}}<br>

Let's use substitution to solve this:<br>

{{{L=72/W}}} Then,<br>

{{{34=2*(72/W)+2W}}}<br>

{{{34=(144/W)+2W}}}<br>

{{{34=(144/W)+(2W^2)/W}}}<br>

{{{34=(2W^2+144)/W}}}<br>

{{{34W=2W^2+144}}}<br>

{{{0=2W^2-34W+144}}}<br>

{{{0=w^2-17W+72}}}<br>

{{{0=(W-8)(W-9)}}}<br>

{{{W-8=0}}} or {{{W-9=0}}}<br>

{{{W=8}}} or {{{W=9}}}<br>

So, our width can equal 8 or 9.  This also means our length can also be 9 or 8, respectively.<br>

You can easily check that these values will work.<br>

I hope this helps!  :)<br>

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