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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.

 Feb 17, 2022
 #1
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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. 

 Feb 17, 2022

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