ABCD is a rectangle of dimensions 80 cm × 60 cm. Another rectangle PQRS is drawn inside ABCD leaving space of…

$ABCD$ is a rectangle of dimensions $80\text{ cm}\times 60\text{ cm}$. Another rectangle $PQRS$ is drawn inside $ABCD$ leaving space of equal width $x$ cm along the edges of $ABCD$. If area $PQRS$ is half of the area $ABCD$, then find the value of $x$.