Difference between revisions of "2021 AMC 10A Problems/Problem 24"
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<math>\textbf{(A)} ~\frac{8a^2}{(a+1)^2}\qquad\textbf{(B)} ~\frac{4a}{a+1}\qquad\textbf{(C)} ~\frac{8a}{a+1}\qquad\textbf{(D)} ~\frac{8a^2}{a^2+1}\qquad\textbf{(E)} ~\frac{8a}{a^2+1}</math> | <math>\textbf{(A)} ~\frac{8a^2}{(a+1)^2}\qquad\textbf{(B)} ~\frac{4a}{a+1}\qquad\textbf{(C)} ~\frac{8a}{a+1}\qquad\textbf{(D)} ~\frac{8a^2}{a^2+1}\qquad\textbf{(E)} ~\frac{8a}{a^2+1}</math> | ||
− | ==Solution== | + | == Video Solution by OmegaLearn (System of Equations and Shoelace Formula) == |
+ | https://youtu.be/2iohPYkZpkQ | ||
+ | |||
+ | ~ pi_is_3.14 |
Revision as of 23:06, 11 February 2021
Problem 24
The interior of a quadrilateral is bounded by the graphs of and
, where
a positive real number. What is the area of this region in terms of
, valid for all
?
Video Solution by OmegaLearn (System of Equations and Shoelace Formula)
~ pi_is_3.14