Jason is building a new addition to his house. It is a rectangular room that is 16 feet x 12 feet in dimensions. One of the 16-foot walls of the room will be part of the existing house. He is trying to calculate how many 8-foot long two by fours (2 inch by 4 inch boards) he needs to purchase for the framing of the new room. He knows that he has to place a two by four stud in the wall every 16 in. He cannot leave a space larger than that without a two by four. At each of the new corners of the room (not the existing ones), he will use three two by fours for reinforcement. At the corners where the room connects to the existing portion of the house, only one stud will be needed.

In the box given below give a written explanation how Jason can go about calculating the number of two by fours he should purchase. How many studs will he need? How do you know?