A rectangular library hall JKLM is divided into two reading rooms by a glass partition NO, where N is on JK and O is on ML (so JNOM and NKLO are the two rooms). E is a bookshelf on JM, F is a bookshelf on KL, and W is the midpoint of NO. The perimeter of JKLM is 88 m and JM : JK = 5 : 6. Find (a) JM, and (b) the total area of the shaded triangles EWO and NWF.
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