If equation |x/2| + |y/2| = 1 encloses a certain region on the coordinate plane, what is the area of this region? Choose the most appropriate option.
A) 8
B) 50
C) 100
D) 200
E) 400
The equation can be reduced to intercept form as |x/2| + |y/2| = 1, so these are lines in four quadrants with x and y intercept as 2, so it is a rhombus with diagonals of 4 each and hence area = 1/2*d1*d2 = 1/2*4*41/2* 1* 2= 
<gadget id="calculator">1/2* 1* 2</gadget>
<output>1</output>
1/2*4*4= 
<gadget id="calculator">1/2*4*4</gadget>
<output>8</output>
8. 8nswer 8.
<result>A</result>
If equation |x/2| + |y/2| = 1 encloses a certain region on the coordinate plane, what is the area of this region?