In the figure below, is a parallelogram, and . Segments and are perpendicular to sides of the parallelogram as shown, and .What is the area of the parallelogram?
The area is given by EG * DC = 16 * 27 = 432
Note : HF = 432 /18 = 24
is a parallelogram, 
and 
. Segments 
and 
are perpendicular to sides of the parallelogram as shown, and 
.What is the area of the parallelogram?![[asy] size(7cm);pair b=(-sqrt(68),16); pair g=(0,0); pair s=(27,0); pair y=b+s;pair a=(8,16); pair u=(8,0);pair o=g+0.15*(b-g);pair e=o+(64/3,4/3*sqrt(68));dot(b); dot(o); dot(g); dot(u); dot(s); dot(a); dot(y); dot(e);draw(y--e);draw(g--o);draw(o--e,dashed);draw(a--u,dashed);draw(o--b,MidArrow(TeXHead));draw(s--e,MidArrow(TeXHead));draw(b--b+0.94*(y-b),MidArrow(TeXHead));draw(y+0.98*(b-y)--y,MidArrow(TeXHead));draw(g--g+0.96*(s-g),MidArrow(TeXHead));draw(s+0.96*(g-s)--s,MidArrow(TeXHead));draw(rightanglemark(a,u,g,50));draw(rightanglemark(o,e,s,50));label(](/api/ssl-img-proxy?src=https%3A%2F%2Flatex.artofproblemsolving.com%2F9%2F6%2F0%2F960528f4e5bacd6ba22e5877f2c69e2dbb2274a6.png)
