Maximum area of rectangle with base on x-axis and vertices on y = e^(-x^2)

[Sanosuke Sagara]

Two vertices of a rectangle lie on the x-axis and the other two vertices lie on the curve y = e^(-x^2) . Find the maximum area of the rectangle.

I can't understand with the question and I can't imagine the real diagram as I don't know how to sketch y = e^(-x^2) graph.I hope that somebody will try to draw me out the diagram so that I can understand better and I can solve this question later.I know that my request is too "EXTREMITY" but somebody please help me.

Thanks for anybody that spend some time on this question.

 

[buddingscientist]

http://www.sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Plot/calc.html

 

[Sanosuke Sagara]

I really need someone to help me figure out what kind of graph this is and I first say sorry for my request that are too "EXTREMITY"