The figure below is an isosceles trapezium 
with point 
being an intersection of lines projected from point 
and 
making 
. The base of the trapezium is 
long. The perimeter of the trapezium ABCD is 
and the perimeter of the triangle ABE is 
. Calculate the area of the trapezium and the triangle 
if their areas are in the ratio 
.
and 
respectively.
