Question 845580
Original square, x by x.


New square, x+2 by x+4, and area is 195:
{{{(x+2)(x+4)=195}}};
{{{x^2+6x+8=195}}}
{{{x^2+6x=187}}}
{{{x^2+6x-187=0}}}
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187=11*17, and you'll note that 17+(-11)=6
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The quadratic expression is factorable.  You finish.