Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-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) $\mathrm { A } ( \mathrm { x } ) = 2 \mathrm { x } ^ { 2 }$
D) $A ( x ) = 2 x ( x - 2 )$