MHB Find the length x if the shaded area is 1200 cm^2

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Find the length x if the shaded area is 1200 cm^2
 
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Figure?
 
It would help if we knew something about the shaded area!
 
It's amazing how many people don't understand the concept of posting or sketching a diagram.

-Dan
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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