a rectangular window is topped with a semicircle on top. the height of the rectangular part is 1 more than 3 times its width , w meters which function represents the total area?


A.) A(w) = w(1 + 3w) + pi(w/2)^2

B.) A(w) = w(1 + 3w) + pi(w/2)^2/2

C.) A(w) = w(1 + 3w) + pi(w)^2/2

D.) A(w) = w(1 + 3w) + pi(w)^2

Respuesta :

DeanR

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



Answer:

b

Step-by-step explanation:

because the other guy is correct