Respuesta :

Answer:

26.13

Step-by-step explanation:

Area of the two triangles:

[tex]\frac{6}{2}[/tex] divide by 2 to find the other side of the triangle and the radius

[tex]A = \frac{ab}{2} \\\\=\frac{(4)(3)}{2} \\= 6[/tex]  this is just one triangle multiply by two to find both sides together

(6)(2) = 12 this is the area of both triangles

Area of the half-circle:

A = [tex]\pi r^{2}[/tex]  this is the formula for a whole circle so we have to then divide by 2

  =[tex]\pi 3^{2}[/tex]

  = 28.3

  = [tex]\frac{28.3}{2}[/tex]

  =[tex]\frac{9}{2} \pi or 14.13[/tex]

Add the area of the triangle with the area of the half-circle:

12 + 14.13 = 26.13

Hope this helps!!