Inscribed square between touching circles and tangent

Consider two circles, each having radius of $5\text{cm}$, touching each other at a point $P$. A direct tangent $QR$ is drawn touching one circle at a point $Q$ and the other circle at a point $R$. Inside the region $PQR$ inscribed by the two circles and the tangent, a square $ABCD$ is inscribed with its base $AB$ on the tangent and the other side touching the two circles at points $D$ and $C$, respectively.

Find the area of the square $ABCD$.