As shown, a square is constructed on the hypotenuse of a right triangle whose legs have lengths 3 units and 4 units. What is the area of the pentagon \(ABCDE\), in square units?
\(a^2+b^2=c^2 \)
32 + 42= c2
25=c2
c=5
3*4*1/2=6
5*5=25
25+6=31
31 units^2