Question 1057666
.
A rectangular lawn of length (x+5) meters is ( x-2) meters wide. If the diagonal is (x+6) meters, find the dimension of the lawn.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
{{{(x+5)^2}}} + {{{(x-2)^2}}} = {{{(x+6)^2}}}.

Solve for x.

{{{x^2 + 10x + 25 + x^2 - 4x + 4}}} = {{{x^2 + 12x + 36}}},

{{{x^2 -6x -7}}} = 0,

(x-7)*(x+1) = 0,

The positive root is x = 7.

<U>Answer</U>.  The dimensions are 12 and 5 meters.
</pre>