Difference between revisions of "2021 JMPSC Accuracy Problems/Problem 3"

(Problem)
(Problem)
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In a regular octagon, the sum of any three consecutive sides is <math>90.</math> A square is constructed using one of the sides of this octagon. What is the area of the square?
 
In a regular octagon, the sum of any three consecutive sides is <math>90.</math> A square is constructed using one of the sides of this octagon. What is the area of the square?
 
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[[File:Octagonsquare.jpg|200px]]
 
[[File:Octagonsquare.jpg|200px]]
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</center>
  
 
==Solution==
 
==Solution==

Revision as of 21:21, 10 July 2021

Problem

In a regular octagon, the sum of any three consecutive sides is $90.$ A square is constructed using one of the sides of this octagon. What is the area of the square?

Octagonsquare.jpg

Solution