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2005 AMC 10A Problem 20

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2005 AMC 10A Problem 20AMC 10 Step by Step

Name: Date: September 13, 2026

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

An equiangular octagon has four sides of length $1$ and four sides of length $\sqrt{2}/2$ , arranged so that no two consecutive sides have the same length. What is the area of the octagon?

A)
$\frac{7}{2}$
B)
$\frac{7\sqrt{2}}{2}$
C)
$\frac{5+4\sqrt{2}}{2}$
D)
$\frac{4+5\sqrt{2}}{2}$
E)
$7$

2005 AMC 10A Problem 20

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