Answer:
49.12 square units
Step-by-step explanation:
Area of triangle = [tex]\dfrac{1}{2}*base *height[/tex]
[tex]=\dfrac{1}{2}*6*8=3*8 = 24 \ sq.units[/tex]
Circle:
d = 8 units
r = 8/2 = 4 units
[tex]Area \ of \ semicircle = \dfrac{1}{2}\pi r^{2}\\[/tex]
[tex]=\dfrac{1}{2}*3.14*4*4=3.14*2*4= 25.12 \ sq.units[/tex]
Area of the figure = area of triangle +area of semicircle
= 24 + 25.12
= 49.12 sq. units