Solve the Problem $A ( x ) = 2 x ( 2 - x )$

Multiple Choice

Solve the problem.
-The figure shown here shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 4 units long. Express the area A of the rectangle in terms of x.

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