2023 AMC 8 Problems/Problem 19

Revision as of 20:52, 24 January 2023 by Pi is 3.14 (talk | contribs)

Written Solution

By AA~ similarity triangle we can find the ratio of the area of big: small —> $\frac{9}{4}$ then there are a relative $5$ for the $3$ trapezoids combines. For $1$ trapezoid it is a relative $53$ so now the ratio is $\frac{5}{\frac{3}{4}}$ which can simplify to $\boxed{\text(C) \frac{5}{12}}$

~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat


Video Solution by OmegaLearn (Using Similar Triangles)

https://youtu.be/bGN-uBsVm0E

Animated Video Solution

https://youtu.be/Xq4LdJJtbDk

~Star League (https://starleague.us)