Question

https://harvestor.sooschools.com/media/g_geo_ccss_2016/13/img_geou12a_15.gif
The 2 pentagons above are similar. What is the area of the smaller pentagon?

Answer 1

The ratio of the areas of 2 similar shapes
\[A _{1}\]
and
\[A _{2}\]
is equal to the following
\[A _{1}/A _{2}=(l _{1}/l _{2})^{2}\]
where
\[l _{1}\]
and
\[l _{2}\]
are the similar sides in the 2 shapes