The area of square abcd is 36 square units and the area of triangle ebf is 20 square units. if line eb is perpindicular to line bf and line ae is equal to 2 find the length of line cf

To find the length of line cf, I first created a square and labeled the vertices a b c d. From here you know the triangle shares the vertice b. I used the lines on the square to add point e. The distance between a and e was 2, leaving us with a distance of 4 from a to b.. I used the 4 to find the missing height. knowing that the total area was 20, the height had to be 10. I extended side cb of the triangle and made a point f. The extra part measured 4 units because the side of the square was 6, so to get 10 I needed 4 more units. I have attached a picture showing this.