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Annette has a new patio that she must paint with a sealant before her first Patio Party. The patio is in the shape of a regular hexagon and a co-joined square as shown below.

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

If one side of the square is $5 \text { feet}$ in length, how many square feet must the sealant cover?

A

$25\text { ft}^2$

B

$\cfrac{25\sqrt{3}}{4}\text { ft}^2$

C

$\cfrac{100+25\sqrt{3}}{4}\text { ft}^2$

D

$\cfrac{25+75\sqrt{3}}{2}\text { ft}^2$

E

$\cfrac{50+75\sqrt{3}}{2}\text { ft}^2$

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