Points A(0,0), B(6,0), C(6,10) and D(0,10) are vertices of rectangle ABCD, and E is on segment AB at (2,0) . What is the ratio of the area of triangle ADE to the area of quadrilateral ABCD? Express your answer as a common fraction.

Guest Feb 17, 2022

#1**+1 **

Draw this on a graph, and you will see that triangle ADE takes up half of \(1 \over 3\) of the rectangle, meaning that the ratio is \(\color{brown}\boxed{1 \over6}\)

Here is the image. The zone in black is triangle ADE, and the blue lines represent the rectangle.

BuilderBoi Feb 17, 2022