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In the figure, ABCD is a pentagon with B...

In the figure, ABCD is a pentagon with BE||CD and BC||CD, BC is perpendicular to CD, AB= 5cm, AE = 5cm, BE = 7cm, BC = x-y and CD = x + y. If the perimeter of ABCDE is 27cm. Find the value of x and y, given x,y `!=` 0.

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