Answer:
55 sq. in.
Step-by-step explanation:
Area of figure
= area of triangle + area of rectangle
height of triangle = 6 in.
base of triangle = 6/(sqrt(3)/3) = 18/sqrt(3)
Area of triangle = 6*18/sqrt(3) /2 = 54/sqrt(3) = 31.18 sq. in.
Area of rectangle = 6 * 4 = 24 sq. in
Area of figure = 31.18+24 = 55.18 sq. in
