If equation |x/2| + |y/2| = 2 encloses a certain region on the coordinate plane, what is the area of this region?  Choose the correct choice.
A) 20 B) 32 C) 100 D) 200 E) 400

Rationale: the equation can be reduced to intercept form as | x / 4 | + | y / 4 | = 1 , so these are lines in four quadrants with x and y intercept as 14 , so it is a rhombus with diagonals of 8 each and hence area = 1 / 2 * d 1 * d 2 = 1 / 2 * 8 * 8 = 32 . answer b .
Answer: B