Solve the Problem $A ( x ) = 2 x ^ { 2 }$

Multiple Choice

Solve the problem.
-The figure shown here shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 6 units long. Express the area A of the rectangle in terms of x.

A) A(x) = x(3 - x)
B) A(x) = 2x(x - 3)
C) $A ( x ) = 2 x ^ { 2 }$
D) A(x) = 2x(3 - x)