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Suzanne, a quilt enthusiast, is planning a design for her newest project, a baby's quilt. A large star, formed by extending the sides of a regular hexagon, is the centerpiece of her quilt top. She has enough purple and green fabric on hand to make the star but must buy the pink fabric.

BCampbell Created for Albert.io. Copyright 2016. All rights reserved

If the purple and green fabric used is a total of $\cfrac{3}{4}\text{ yd}^2$, how many square yards of pink fabric must Suzanne buy?

A

$\cfrac{1}{6}\text{ yd}^2$

B

$\cfrac{1}{4}\text{ yd}^2$

C

$\cfrac{1}{3}\text{ yd}^2$

D

$\cfrac{1}{2}\text{ yd}^2$

E

$\cfrac{3}{4}\text{ yd}^2$

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