Answer
The student found the perimeter instead of the area, and the units are incorrect as the units for perimeter should be cm, not $cm^2$.
Work Step by Step
To find the perimeter, one must add up the sum of the lengths of all of the individual sides. The correct method is as follows:
$$ P = 10 \ cm + 13 \ cm + 13\ cm \\ P = 36 \ cm$$
