In the diagram above, *ABCD* and *PQRS* are both rectangles. Points *P*, *Q*, *R*, and *S* lie on segments \(\overline{AB}\), \(\overline{BC}\), \(\overline{CD}\), and \(\overline{DA}\), respectively, and \(\overline{BQ} < \overline{QC}\).

If \(AB=36\) and \(BC=50\), then the maximum possible value of \(BQ\) can be written in the form \(a-\sqrt{b}\), where \(a,b \in \mathbb{N}\). What is \(a+b\)?

×

Problem Loading...

Note Loading...

Set Loading...