Yes, for triangles to similar two angles have to be the same, in this case, they both have 55 and 30 degrees), this makes the third angle the same. Triangles angles add up to 180 degrees and if you subtract 30 and 55 from 180.. 180-30=150-55=95 95+30+55=180
(9+w)w=252 or w(w+9)=252. The quadratic equation applies: w²+9w-252=0=(w+21)(w-12), so w=12, because a negative zero is meaningless. So the dimensions are width=12 in and length=21 in.
