Question 1081279
Two separate description & questions given.  Just the first is being done or started here.


x, side of the square field;
{{{(x+5)(x+2)=130}}}
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{{{x^2+7x+10-130=0}}}
{{{x^2+7x-120=0}}}
Maybe factorable, maybe not...
{{{x=(-7+- sqrt(49+4*120))/2}}}


{{{x=(-7+- sqrt(529))/2}}}

{{{x=(-7+- 23)/2}}}, and that would have been factorable, since discriminant 529 is a perfect square...


x=8 or x=15


<b>Check both of these values to see</b> if either of them does or does not work according to the description.



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In fact, x=15 DOES NOT work, but x=8 does.