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2024 AMC 10A Problem 22

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2024 AMC 10A Problem 22AMC 10 Step by Step

Name: Date: September 13, 2026

Triangles: Area & Pythagorean · difficulty 4 of 5 · about 8 min · position P21-25

Let $\mathcal K$ be the kite formed by joining two right triangles with legs $1$ and $\sqrt3$ along a common hypotenuse. Eight copies of $\mathcal K$ are used to form the polygon shown below. What is the area of triangle $\Delta ABC$ ?

A)
$2+3\sqrt3$
B)
$\dfrac92\sqrt3$
C)
$\dfrac{10+8\sqrt3}{3}$
D)
$8$
E)
$5\sqrt3$

2024 AMC 10A Problem 22

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