It's sunny today. The sun is shining(照耀)in the sky and it's very hot. Nancy goes to the train station(车站)to meet her mother at noon. She walks in the street. There are no trees and she's fat. So she feels very hot. But she doesn't find (发现)a boy walking behind her. And she meets a friend and says "Hello" to him. "Who's the boy behind you?" asks(问) the man. Now she sees the boy. She is angry and asks, "Why(为什么) do you walk behind me, boy?" there's no shade(阴凉处) in the street, you know" answers the boy. "It's cool behind you, I think(想)."

如图，在长方形ABCD中，AB：BC=3：5，以点B为圆心，BC的长为半径画弧，交边AD于点E．若AE•DE=16，则长方形ABCD的面积为____ ．