# 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.

**Problem 1543**

Within the square's realm,

Intersecting arc takes form,

Quadrilateral's grace.

Area's mystery unveiled,

Geometry's secret embraced.

## Discover Even More: See Also...

### Problem 1544

### Problem 1542

### Problem 1541

### Problem 1540

### Problem 1539

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