The area of the rectangle would be A=lw
A=24*16
A=384cm
Since the length of the triangle is 24cm, and at the opposite length 14cm is given, the dotted line's length would be 24cm-14cm=10cm,
Using that, the 10cm could be used as the height of the triangle
A=bh/2
19(10)/2
190/2
95cm.
384+95=479cm