Question 1004432
smaller square has side x, area x^2
larger has side (x+3), area x^2+6x+9
the two add to 89 cm^2
2x^2+6x+9=89
2x^2+6x-80=-
x^2+3x-40=0, factoring out a 2
(x+8)(x-5)=0
x=5, only sensible root
small square is 5 x 5 cm or 25 cm^2
larger square is 8 x 8 cm or 64 cm^2