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A given sector in a circle has perimeter $\cfrac{(24+4π)}{3}$.

What is the area of the sector?

A

$\cfrac{4π}{3}$

B

$\cfrac{16π}{3}$

C

$8π$

D

$\cfrac{8π}{3}$

E

$\cfrac{8+4π}{3}$

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