Every angle in the polygon is a right angle. The area of the polygon is 426 in2. What is the length of the left side of the polygon? Show your work. help fast due in a few hours

Answer:
31 in
Step-by-step explanation:
First let's split the bottom part of the L in two parts of 19 and [tex]26-19=7 in[/tex] each. Now the whole area is made of two rectangles of sides [tex]19\times11[/tex] and [tex]7\times h[/tex],where h is the length of the left side. These two have to add up to 426 so
[tex]19\times 11 + 7\times h = 426\\209+7h = 426\\7h =217 \rightarrow h=31[/tex]