Answer: [tex]78\ ft[/tex]
Step-by-step explanation:
First, you need to remember that the perimeter of a rectangle can be calculated with the following formula:
[tex]P=2l+2w[/tex]
Where "l" is the length and "w" is the width.
You can see in the figure that the dimensions from the study to the kitchen in the scale drawing, are:
[tex]l=2"+3"=5"\\\\w=1.5"[/tex]
Then, the perimeter in the scale drawing is:
[tex]P=2(5")+2(1.5")\\\\P=13"[/tex]
You know that the scale is:
[tex]\frac{1}{2}"=3\ ft[/tex]
Then you must make the conversion, as following:
[tex](13")(\frac{3\ ft}{0.5"})=78\ ft[/tex]
