If equation |x/4| + |y/4| =2.5 encloses a certain region on the coordinate plane, what is the area of this region?
Choices:  A) 20  B) 50  C) 100  D) 400  E) 200
The equation can be reduced to intercept form as |x/10| + |y/10| = 1, so these are lines in four quadrants with x and y intercept as 10, so it is a rhombus with diagonals of 20 each and hence area = 1/2*d1*d2 = 1/2*20*20 1/2* 1* 2= 
<gadget id="calculator">1/2* 1* 2</gadget>
<output>1</output>
1/2*20*20= 
<gadget id="calculator">1/2*20*20</gadget>
<output>200</output>
200. Answer 200.
<result>E</result>
If equation |x/4| + |y/4| =2.5 encloses a certain region on the coordinate plane, what is the area of this region?