In trapezoid ABCD, O is the point of intersection from the diagonals. The area of AOD is 15 ft^2. The altitudes from B and O to the longer base area in a 5:3 ratio. Find the area of ABD and the area of MOC if M is the midpoint of the leg CG.

sites:

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.

parallelogram is the   answer