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2012 AMC 10B Problem 19

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2012 AMC 10B Problem 19AMC 10 Step by Step

Name: Date: September 13, 2026

Quadrilaterals & Polygon Areas · difficulty 3 of 5 · about 5 min · position P16-20

In rectangle $ABCD$ , $AB=6$ , $AD=30$ , and $G$ is the midpoint of $\overline{AD}$ . Segment $AB$ is extended 2 units beyond $B$ to point $E$ , and $F$ is the intersection of $\overline{ED}$ and $\overline{BC}$ . What is the area of $BFDG$ ?

A)
$\frac{133}{2}$
B)
$67$
C)
$\frac{135}{2}$
D)
$68$
E)
$\frac{137}{2}$

2012 AMC 10B Problem 19

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