What is the area of an equilateral triangle with apothem of 6 inches in length?

##color(white)(xx)12sqrt3##
##color(white)(xx)sqrt3/2a=h##
##=>sqrt3/2a=6##
##=>color(red)(2/sqrt3*)sqrt3/2a=color(red)(2/sqrt3*)6##
##=>a=(2color(blue)(*sqrt3))/(sqrt3color(blue)(*sqrt3))*6##
##=>a=4sqrt3##
##color(white)(xx)A=(ah)/2##
##color(white)(xxxx)=6*4sqrt3/2##
##color(white)(xxxx)=12sqrt3##