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MATH / An equiangular octagon has four sides of length 1 and four sides of length (√(2))/(2), arranged so that no two consecutive sides have the same length. What is the area of the octag…

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problem

An equiangular octagon has four sides of length 11 and four sides of length 22\frac{\sqrt{2}}{2}, arranged so that no two consecutive sides have the same length. What is the area of the octagon?
Plain-text mathematical notation (without MathML)
An equiangular octagon has four sides of length 1 and four sides of length (√(2))/(2), arranged so that no two consecutive sides have the same length. What is the area of the octagon?
Original LaTeX notation
An equiangular octagon has four sides of length $1$ and four sides of length $\frac{\sqrt{2}}{2}$, arranged so that no two consecutive sides have the same length. What is the area of the octagon?

level

Level 5

type

Geometry

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Source and history

task_id
00d66142-a921-517f-bd02-07f2ce4f441b
task_key
geometry--test--00d66142-a921-517f-bd02-07f2ce4f441b
task_revision_id
1
config / split
geometry / test

Official source

initial import