What is the total area of this composite figure rounded to the nearest hundredth?

18.53 ft2
43.07 ft2
39.53 ft2
20.07 ft2

39.53 ft^2

Step-by-step explanation:

We can find the area of the rectangle

A = l*w

   = 12*3 = 36

And the area of the semicircle

A = 1/2 pir^2

The diameter is 3, the radius is 3/2

   =1/2 pi* (3/2)^2

   = 1/2 *3.14 * 9/4

3.5325

Add the two areas together

36+3.532539.5325

Rounding to the nearest hundredth

39.53 ft^2

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft