Question 102851
let x=side of one square, y=side of the other square


x^2+y^2=117 ... 4x+4y=60 ... x+y=15 ... y=15-x ... x^2+(15-x)^2=117


x^2+225-30x+x^2=117 ... 2x^2-30x+108=0 ... x^2-15x+54=0 ... (x-9)(x-6)=0 ... x=9 and x=6


the sides of the squares are 9 and 6