Area of polygon Using Coordinates

Q.

The area enclosed by 2|x| + 3|y| $\le$ 6 is

1. 3 sq units

2. 4 sq units

3. 12 sq unit

4. 24 sq units

Q. A system of line is given as $y=m_{i}x+c_i,$ where $m_i$ can take any value out of 0, 1, -1 and when $m_i$ is positive then $c_i$ can be 1 or -1 when $m_i$ equal 0, $c_i$ can be 0 or 1 and when $m_i$ equals -1, $c_i$ can take 0 or 2. Then the area enclosed by all these straight lines is

1. sq. units
2. sq. units
3. sq. untis
4. sq. units