CAT 2020 Quant Question [Slot 3] with Solution 14

The line \(y = |x - 2| + 4\) intersects the \(y\) -axis at (0,6) and intersects \(x = 2\) at (2,4)

The other vertices are (0,0) and (2,0)

The figure formed is a trapezium of parallel sides 6 and 4 and the distance between the parallel sides is 2.

Required answer \( = \frac{1}{2} \times 2 \times (6 + 4) = 10\)