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MATH / An isosceles trapezoid is inscribed in a semicircle as shown below, such that…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

An isosceles trapezoid is inscribed in a semicircle as shown below, such that the three shaded regions are congruent. The radius of the semicircle is one meter. How many square meters are in the area of the trapezoid? Express your answer as a decimal to the nearest tenth.

[asy]
fill((0,10)..(-10,0)--(10,0)..cycle,black);
fill((-10,0)--(-5,8.7)--(5,8.7)--(10,0)--cycle,white);
draw((0,10)..(-10,0)--(10,0)..cycle);
draw((-10,0)--(-5,8.7)--(5,8.7)--(10,0)--cycle);
[/asy]

level

Level 4

type

Geometry

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Source and history

task_id
dcf96eb4-b4c7-5680-b42d-f397a0688b82
task_key
geometry--test--dcf96eb4-b4c7-5680-b42d-f397a0688b82
task_revision_id
1
config / split
geometry / test

Official source

initial import