find the area of the following figure..

Answer:
456 [tex]cm^{2}[/tex]
Step-by-step explanation:
Find the height of the trapezoid first (QR):
[tex]\sqrt{37^{2} -35^{2} }[/tex] = 12
QR = 12
Area:
[tex]\frac{a+b}{2}[/tex] × h = [tex]\frac{35+41}{2}[/tex] × 12
= 456 [tex]cm^{2}[/tex]