Answer
120ft by 126ft
Work Step by Step
Pythagorean theorem:
$(x+6)^{2}$+$x^{2}$=$174^{2}$
$x^{2}$+12x+36+$x^{2}$=30,276
2$x^{2}$+12x-30,240=0
Quadratic formula:
$12^{2}$-4$\times$2$\times$(-30,240)=242,064
x=$\frac{-12+or-\sqrt 242,064}{4}$
Dimensions can't be negative so the only answer is:
x=120
x+6=126