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A $5$ foot by $8$ foot rectangular patio is expanded by adding bricks to both dimensions as shown.

Which expression represents the area of the patio, regarding $ x $?

A

$ { 2x }^{ 2 }+13x+40 $

B

$ { 2x }^{ 2 }+21x+40 $

C

$ { 2x }^{ 2 }+40 $

D

$ { x }^{ 2 }+13x+40 $

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