If equation |x/2| + |y/2| = 2 encloses a certain region on the coordinate plane, what is the area of this region?
Choices:
A) 20
B) 32
C) 100
D) 200
E) 400
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*d1*d2 = 1/2*8*8 1/2* 1* 2= 
<gadget id="calculator">1/2* 1* 2</gadget>
<output>1</output>
1/2*8*8= 
<gadget id="calculator">1/2*8*8</gadget>
<output>32</output>
32. Answer 32.
<result>B</result>
If equation |x/2| + |y/2| = 2 encloses a certain region on the coordinate plane, what is the area of this region?