Question 980448
Side length of small square, x.
Side length of other square, x+3.


Sum of areas of the two squares is 13689 square inches.


{{{x^2+(x+3)^2=13689}}}
and continue from this......



I am skipping the steps here, but just know that the value for x is
{{{x=(-3+3sqrt(3041))/2}}}, and that 3041 is a prime number.
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You can find x+3.