Respuesta :
In general for a rectangle of dimensions w by h and a semicircle of diameter w we get an area:
[tex]A = wh + \frac 1 2 \pi (\frac w 2)^2[/tex]
The halfs are because a semicircle is half a circle and a radius is half a diameter.
We're told
[tex] h = 1+ 3w[/tex]
Substituting,
[tex] A(w) = w(1+3w) + \frac 1 2 \pi (\frac w 2)^2 [/tex]
Answer: B