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The square quilt block shown is used in a larger quilt. The four small squares in the block are congruent, and the four small vertical rectangles in the block that are not squares are also congruent. The total area of the shaded regions is what fraction of the total area of the block? Express your answer as a common fraction.

 Feb 22, 2019
 #1
avatar+103120 
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Let each square be divided into 4 equal parts....so we have 4 squares * 4 parts each = 16 total parts

 

In the top left square, using symmetry,  1 of the 4 parts is shaded

And the same for the bottom right square

 

And for the top right square,  2  of the 4 parts are shaded

And the same for the bottom left square

 

So...the shaded portion is

 

[ 1 + 1 + 2 + 2]  / 16 =

 

6 /16 =

 

3 / 8

 

 

cool cool cool  

 Feb 22, 2019

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