The measure of YW is equal to 22.2.
We are given that triangle TUV is similar to triangle WXY. We are supposed to find the measure of side YW.
We are given that VT= 4 VU = 8 and YX = 44.4
Now we know that when 2 triangles are similar the sides are also going to be equal. From this we can say that
VU / YX = VT / YW
8 / 44.4 = 4/ x ( assuming YW is x )
Cross- multiplying
8x = 177.6
x = 22.2
So , the measure of YW is equal to 22.2.