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Omni-MATH / Let ABCD be an isosceles trapezoid with parallel bases AB=1 and CD=2 and height 1. Find the area of the region containing all points inside ABCD whose projections onto the four sid…

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problem

Let ABCDA B C D be an isosceles trapezoid with parallel bases AB=1A B=1 and CD=2C D=2 and height 1. Find the area of the region containing all points inside ABCDA B C D whose projections onto the four sides of the trapezoid lie on the segments formed by AB,BC,CDA B, B C, C D and DAD A.
Plain-text mathematical notation (without MathML)
Let ABCD be an isosceles trapezoid with parallel bases AB=1 and CD=2 and height 1. Find the area of the region containing all points inside ABCD whose projections onto the four sides of the trapezoid lie on the segments formed by AB,BC,CD and DA.
Original LaTeX notation
Let $A B C D$ be an isosceles trapezoid with parallel bases $A B=1$ and $C D=2$ and height 1. Find the area of the region containing all points inside $A B C D$ whose projections onto the four sides of the trapezoid lie on the segments formed by $A B, B C, C D$ and $D A$.

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