if equation | x / 4 | + | y / 4 | = 2.5 encloses a certain region on the coordinate plane , what is the area of this region ?
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 * d 1 * d 2 = 1 / 2 * 20 * 20 = 200 . answer e .
add(power(multiply(const_2.0, 4), 4), power(multiply(4, 4), 4))