Question: A rectangle is drawn in a way that it is symmetric with respect to the y - axis and its base is on the x

A rectangle is drawn in a way that it is symmetric with respect to the y-axis and its base is on the x-axis. Its upper corners lie on the lines y=-2x+10 and y=2x+10. Find the largest possible area for such a rectangle.
A rectangle is drawn in a way that it is

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