<PRE><B>Question 1170404</B>
&lt;br&gt;
The other tutor didn&#39;t read the problem correctly....&lt;br&gt;
The area is length times width; and the length is 6 (feet) longer than the width.&lt;br&gt;
x = width
x+6 = length&lt;br&gt;
The area is 72:&lt;br&gt;
{{{x(x+6) = 72}}}
{{{x^2+6x = 72}}}
{{{x^2+6x-72 = 0}}}&lt;br&gt;
To solve that, you need to factor the quadratic by finding two numbers whose product is 72 and whose difference is 6.&lt;br&gt;
But that is what the original problem requires you to do.&lt;br&gt;
So the formal algebra doesn&#39;t help you solve the problem; so (if a formal algebraic solution is not required) solve it mentally by finding two numbers that differ by 6 and have a product of 72: 6 and 12.&lt;br&gt;
ANSWER: the garden is 6 by 12 feet.&lt;br&gt;

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