Question

Given the scale drawing of a one bedroom apartment, what is the actual length of the apartment from the study to kitchen?

Answer 1

Answer: $78\ ft$

Step-by-step explanation:

First, you need to remember that the perimeter of a rectangle can be calculated with the following formula:

$P=2l+2w$

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:

$l=2"+3"=5"\\\\w=1.5"$

Then, the perimeter in the scale drawing is:

$P=2(5")+2(1.5")\\\\P=13"$

You know that the scale is:

$\frac{1}{2}"=3\ ft$

Then you must make the conversion, as following:

$(13")(\frac{3\ ft}{0.5"})=78\ ft$