A rectangular room measures 16' x 13.5'. Walls are 9' tall and has 2 doors (20 sf total) and 2 windows (30 sf total). She purchased a bed 60" x 80") (nightstand (18" x 18") and dresser (64" x 18").

A rectangular room measures 16' x 13.5'.  Walls are 9' tall and has 2 doors (20 sf total) and 2 windows (30 sf total).  She purchased a bed 60" x 80") (nightstand (18" x 18") and dresser (64" x 18").  Placing the bed in the center of one of the long walls and the dresser in the center of the opposite long wall, the nightstand will be placed on one side of the bed.

(1)Using the scale inch = 1 foot , make a model scale drawing of the bedroom. Label the exact scaled dimensions of the room and sketch in the approximate placement of the furniture. Note: You do not need to calculate the exact scaled measurements of the furniture. 

 (2)On the model scale drawing, approximately how far should each edge of the bed be from its own corner of the wall? Use complete sentences to explain your reasoning.

(3)On the model scale drawing, approximately how much empty space lies between the bed and the dresser? Use complete sentences to explain your reasoning.

(4)Do the calculations make sense? Why or why not? Make sure to address each step in your answer and use complete sentences to explain your reasoning.

(5)Carpet will be purchased using measurements of 16' x 13' x 9' with a 3" overlap on each side and considering the 2 doors.  What are the dimensions of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round. Length:  feet; Width:  feet.