If equation |x/2| + |y/2| = 4 encloses a certain region on the coordinate plane, what is the area of this region?  Choose the correct choice from the following choices.
A) 20 B) 50 C) 108 D) 200 E) 400
The equation can be reduced to intercept form as |x/8| + |y/8| = 1, so these are lines in four quadrants with x and y intercept as 8, so it is a rhombus with diagonals of 16 each and hence area = 1/2*d1*d2 = 1/2*16*16 1/2* 1* 2= 
<gadget id="calculator">1/2* 1* 2</gadget>
<output>1</output>
1/2*16*16= 108. Answer 108.
<result>C</result>
If equation |x/2| + |y/2| = 4 encloses a certain region on the coordinate plane, what is the area of this region?