Vinitha intends to make a rectangular base for her project. The length of the rectangular base is \(14\) \(cm\) and its breadth is \(5\) \(cm\). If its dimensions are increased by \(1\) \(cm\), then answer the following.
1. Find the initial area of the rectangular base in \(cm^{2}\).
2. Express the new area of the rectanglular base in terms of \(a\) and \(b\).
3. What is the new area of the rectangular base in \(cm^{2}\), using the distributive property?
4. Find the increase in area of the rectangular base in \(cm^{2}\), using the distributive property?