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908.563 in²

Step-by-step explanation:

see attached image

A1 = 12 x 34 = 408

A2 =  h = √(34² - 17²) = 29.445

            = (1/2 * 34 * 29.445)

            = 500.563

total area = A1 + A2

                = 408 + 500.563

               = 908.563 in²

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