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Two identical right-angled triangles, JKL and MLK, overlap along side KL, as shown. Sides JL and MK intersect at N.
The area of the overlapped region, 4KLN, is equal to half of the area of 4JKL. The area of the figure JKLMN is 48 cm2.

If JK = 6 cm, determine the length of KL.

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