5.2.4.14 Various Problems on the Plane

In an isosceles trapezoid \ (a b c d \) the length of the base \ (a d = 10, b c = 6 \). The height lowered from the middle \ (m \) side side \ (a b \) by \ (C D \) divides it in relation to \ (3: 5 \) Considering from the top \ (C \). Find the area of the trapezoid \ (a b c d \).