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

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To find the length x when the shaded area is 1200 cm², it's essential to have more information about the shape and dimensions of the area. Providing a diagram or additional details about the geometry involved would greatly aid in solving the problem. Many participants emphasize the importance of clear communication and visual aids in mathematical discussions. Without these specifics, it's challenging to arrive at a solution. Clarity in problem presentation is crucial for effective problem-solving.
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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
 
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...