What is the perimeter of rectangle ABCD?
Triangle EBA is similar to triangle DCE
So
BA / EB = CE / CD
6 / 4 = CE / 6
6 * 6 / 4 = CE
36 / 4 = CE = 9
So BC = BE + CE = 4 + 9 = 13
So....the perimeter is
2 ( BC + BA) = 2 ( 13 + 6) = 2 (19) = 38