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Ace carpeting needs to provide wall to wall carpeting for a room that is in the shape of a regular pentagon. Each wall of the room measures $12\text{ meters}$ in length.

How many square meters of carpeting must be provided? Round your answer up to the next higher whole number.

A

$122\text{ m}^2$

B

$50\text{ m}^2$

C

$131\text{ m}^2$

D

$248\text{ m}^2$

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