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While Rayburn was sprucing up his home he re-squared an old screen but ended up damaging the screening and must order more. The inside of the screen's frame is a square with a diagonal of $4\sqrt2 \text{ feet}$ and the screening material must overlay all sides of the frame by $0.5\text{ inches}$.

How many square feet of screening material does Rayburn need to order?

A

$\cfrac{49}{3}\text{ ft}^2$

B

$\cfrac{9409}{576}\text{ ft}^2$

C

$\cfrac{2401}{144}\text{ ft}^2$

D

$\cfrac{81}{4}\text{ ft}^2$

E

$25\text{ ft}^2$

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