+0  
 
0
41
1
avatar

n regular octagon ABCDEFGH,  M and  N are midpoints of  line BC and  line FG respectively. Compute [ABMO]/[ABCDE]. ([ABCD] denotes the area of polygon ABCD.)

 

 Oct 13, 2020
 #1
avatar+9041 
+1

 

We can let the area of the entire octagon be 1. Then..

 

[ABCDE]   =   1/2

 

area of △AOB   =   1/8

 

area of △BOM   =   1/2 of 1/8   =   1/16

 

[ABMO]   =   area of △AOB + area of △BOM   =   1/8 + 1/16   =   3/16

 

[ABMO] / [ABCDE]   =   ( 3/16 )/( 1/2 )   =   3/8

 
 Oct 14, 2020

33 Online Users

avatar