A student designed a flag for the school's Gaming Club. The design is rectangular with vertices at (5, 6), (12, −10), and (5, −10). Find the missing vertex and the area of the flag in square inches?

The missing vertex is (12, 6) with an area of 112 in2.
The missing vertex is (−10, 12) with an area of 112 in2.
The missing vertex is (6, 12) with an area of 28 in2.
The missing vertex is (−10, 6) with an area of 28 in2.