Area of Triangles · Hard problem

A shed's front wall is shaped like a trapezoid with a triangular roof on top. The trapezoid part has parallel sides of $10$ m (bottom) and $14$ m (top), with a height of $5$ m. The triangular roof sits on the trapezoid's $14$ m top edge and has a height of $6$ m. What is the total area of the front wall, in square meters?