# Folds and Creases-1

Geometry Level 5

A piece of paper is in the form of an equilateral triangle $$ABC$$ with side length $$a$$. A fold is made such that vertex $$A$$ of the triangle meets a point $$D$$ on $$AC$$ such that $$AD=\dfrac{a}{3}$$. Find the value of $$k$$, if the perimeter of the resulting concave quadrilateral is $$ka$$.

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