The hypotenuse of a right triangle is 4 times its base. if b is the base of the triangle, express the area A of the triangle as a function of b.
A\(A=2b^{2}\)
B\(A= \frac{ \sqrt{3}*b^{2} }{2}\)
C\(A= \sqrt{3}*b^{2}\)
D\(A= 2 \sqrt{15}* b^{2}\)
E\(A= \frac{ \sqrt{15}* b^{2} }{2}\)
A\(A=2b^{2}\)
B\(A= \frac{ \sqrt{3}*b^{2} }{2}\)
C\(A= \sqrt{3}*b^{2}\)
D\(A= 2 \sqrt{15}* b^{2}\)
E\(A= \frac{ \sqrt{15}* b^{2} }{2}\)