#1**+1 **

The scale factor for the top shaded triangle is 1/4 of ABC

So..its area is scale factor ^2 * [ ABC] = (1/4)^2 * [ABC ] = [ ABC ] /16

For the top 1/2 of the figure....the scale factor is 1/2 of ABC

So...its area = (1/2)^2 [ ABC ] = [ ABC ] / 4 = (1)

For the top 3/4 of the figure....the scale factor is 3/4 of ABC

So ...its area = (3/4)^2 [ ABC ] = [ABC] *(9/16) = (2)

So....the bottom shaded area = (2) - (1) = [9/16 - 1/4] [ABC ] =

[5/16] [ ABC]

So....the total of the shaded ares = [ ABC ] / 16 + [5/16] [ABC ] =

[ 6/16] [ ABC ] =

[3/8] [ ABC]

CPhill Oct 15, 2018