Mathematics

Problem

In the given figure, if

ABCD

is a parallelogram and

E

is the mid-point of

BC

, then

ar(\Delta DEC) = k ar(ABCD)

. Find

k

. ![Diagram of a parallelogram ABCD. E is the midpoint of side BC. A line segment DE is drawn, forming triangle DEC.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/2ca2aaa490074516a2e6d186711c3bc6/390120de4fe440c42fea8154fcaad334_img.jpg) (A) 2 (B)

\frac{1}{4}

(C)

\frac{1}{2}

(D)

\frac{2}{3}

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