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Annette wants to plant flowers around her new patio which, as shown below, is comprised of a hexagon and a connected square. She intends to plant the flowers $6\text { inches}$ apart on all the edges of the patio except the one side of the square which is the entrance to the patio.

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

If each of the patio's sides has the length of $5\text{ feet}$ and she plants her first flower at the entrance corner, what is the greatest number of flowers she needs to purchase?

A

$88$

B

$77$

C

$72$

D

$71$

E

$70$

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