May be Harmonic or may not be

Geometry Level 2

A circle is inscribed in the right trapezoid with base length 22 and 35 Let A A and P P be the area of and perimeter of the trapezoid. If the ratio of A P \frac{A}{P} is expressed as X Y \frac{X}{Y} , where g.cd ( X , Y ) = 1 \text{g.cd} \,(X,Y) = 1 . Find the value of X + Y X+Y .


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