$AE$ divides rectangle $ABCD$ into two parts such that the ratio of the area of $\triangle ADE$ to the area of quadrilateral $ABCE$ is 1:4. Find the ratio of $DE$ to $EC$. Express your answer as a common fraction.
4 *Area of ADE = (1/2) AD * DE =
Area of quadrilateral ABCE = (1/2)(AD) (AB + EC)
4 (1/2) AD * DE = (1/2) (AD) (AB + EC)
4DE = AB + EC
4DE = (DE + EC) + EC
3 DE = 2 EC
DE / EC = 2 / 3
+1725 
