Geometry Problem 1543: Calculating the Area of Quadrilateral ABED in a Square with a Side Length of 20 and an Intersecting Arc: Advanced High School and College Math Education

In a square ABCD with a side length of 20, point M is the midpoint of BC, and the arc AC, with center at B, intersects DM at point E. Calculate the area of quadrilateral ABED.

Geometry Problem 1543: Calculating the Area of Quadrilateral ABED in a Square with a Side Length of 20 and an Intersecting Arc

Problem 1543
Within the square's realm,
Intersecting arc takes form,
Quadrilateral's grace.
Area's mystery unveiled,
Geometry's secret embraced.

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