Question 1178120
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For an elementary algebra class, a solution using formal algebra is fine; you should know how to do it.<br>
But the problem is best suited for solution using logical reasoning and simple mental calculations.<br>
The perimeter is 44, so the semi-perimeter (length plus width) is 22.  So you need two numbers whose sum is 22 and whose product is 120.<br>
A few seconds of thought bring you to the answer 12 by 10.<br>