Tangential Trapezoid

Geometry Level 3

\(ABCD\) is a tangential isosceles trapezoid, touching the circle as shown above.

If the perimeter of the trapezoid is 52, and the circle's radius and all trapezoid's sides have lengths in whole integers, what is the area of the trapezoid?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.