$(4$ points$)$ For this problem, you will use the multiplication problem $123\backslash$times $45.$ Be sure to clearly explain your thought process for each part.

Use the standard algorithm to calculate $123\backslash$times $45($no additional explanation is needed, but all work must be clear, neat and organized$).$ Next, draw an open area model to represent $123\backslash$times $45.$ Naturally subdivide the open area model into parts and then label the open area model in a way so that the parts correspond to the steps in the standard algorithm. Describe the connections between the standard algorithm and the open area model.