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2011 AMC 10A Problem 11

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2011 AMC 10A Problem 11AMC 10 Step by Step

Name: Date: September 13, 2026

Triangles: Area & Pythagorean · difficulty 2 of 5 · about 3 min · position P11-15

Square $EFGH$ has one vertex on each side of square $ABCD$ . Point $E$ is on $\overline{AB}$ with $AE=7\cdot EB$ . What is the ratio of the area of $EFGH$ to the area of $ABCD$ ?

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A)
$\frac{49}{64}$
B)
$\frac{25}{32}$
C)
$\frac78$
D)
$\frac{5\sqrt{2}}{8}$
E)
$\frac{\sqrt{14}}{4}$

2011 AMC 10A Problem 11

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