CAT 2017 Quantitative Ability

Let us take $X = x - 2$ and $V = y + 4$ Now, let us draw $|x|+|y|<5$ . When $y = 0. |X| < 5 \text{ i.e.}, -5 < X < 5$ . When $X = 0, |y| < 5 \text{ i.e.}, -5 < Y < 5$ Now, try to think of how the graph of | x - 2|+ | y + 4| <5 would look, 'x - 2' indicates a shift along the X-axis, 2 unit to the right and 'y + 4' indicates a shift along the y-axis, 4 units to the bottom We can observe that shifting the origin has no impact on the area of the figure. This essentially means that area computed using |x-2| + |y+4| <5 has to be same as the area computed using | x| + | y| < 5. Required Area = $4 \times \;\; \frac{1}{2} \times 5 \times 5 = 50 \; \text{squnits}$