Megan is jealous of her older sister's \(a\) x \(b\) inch Zac Efron poster, so she cuts out a rectangle around his face, which has dimensions \(\frac{a}{2}-2\) by \(\frac{b}{3} - 5\), and steals it. Megan's older sister decides she's over Zac Efron anyways, and uses the rest of the paper as wrapping paper. She wraps an \(11\) -inch cube, wasting no paper, and has \(3\) square inches leftover. If \(a\) and \(b\) are integers and \(b > a\), and the difference between the length and width of the poster is less than \(50\), find the dimensions of the poster. Express your answer as the ordered pair \((a, b)\).
