We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

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.

Logic Feb 22, 2019

#1**+1 **

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

CPhill Feb 22, 2019