In the diagram above, \(BD = 5, CD = 10,\) and \(AE = 40.\) What is the area of the shaded region?

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similar triangle diagram.JPG
In the diagram above, \(BD = 5, CD = 10,\) and \(AE = 40.\) What is the area of the shaded region?

(A) 175
(B) 350
(C) 775
(D) 1150
(E) 1575

[spoiler]OA=E[/spoiler]

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