There is a square consructed on the (short) side of a rectangle

The area of the square is w*w = w^2.

The area of the rectangle is w*(w + 6) = w^2 + 6w.

The sum of these areas is 176.

(w^2) + (w^2 + 6w) = 176

2w^2 - 6w - 176 = 0

w^2 - 3w - 88 = 0

etc.