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2009 AMC 10A Problem 14

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2009 AMC 10A Problem 14AMC 10 Step by Step

Name: Date: September 13, 2026

Quadrilaterals & Polygon Areas · difficulty 2 of 5 · about 3 min · position P11-15

Four congruent rectangles are placed as shown. The area of the outer square is $4$ times that of the inner square. What is the ratio of the length of the longer side of each rectangle to the length of its shorter side?

A)
$3$
B)
$\sqrt {10}$
C)
$2 + \sqrt2$
D)
$2\sqrt3$
E)
$4$

2009 AMC 10A Problem 14

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