ANALYZE Arthur is drawing the floor plan of his home. The scale is 1 inch equals 2 feet. a. If he draws his hallway 5 inches long, how long is the actual hallway? b. If the kitchen is 12 feet wide, how wide should the drawing of the kitchen be?

A scale tells you the relationship between the length on a drawing compared to the actual length.
A scale of 1 inch = 2 feet is then telling you that$\frac{1inch}{2feet}=\frac{drawinglength}{actuallength}$.
a. Let x be the actual length of the hallway. If the length in the drawing is 5 inches, then:
$\frac{1inch}{2feet}=\frac{drawinglength}{actuallength}$
$\frac{1inch}{2feet}=\frac{5inches}{xfeet}$
${\displaystyle 1\left(x\right)=2\left(5\right)}$
${\displaystyle x=10}$
The actual length of the hallway would then be x=10 feet.
b. Let y be the length of the kitchen in the drawing. If the actual length of the kitchen is 12 feet, then:
$\frac{1inch}{2feet}=\frac{drawinglength}{actuallength}$
$\frac{1inch}{2feet}=\frac{yinches}{12feet}$
${\displaystyle \frac{1}{12}=2\left(y\right)}$
${\displaystyle 12=2y}$
${\displaystyle 6=you}$
The length of the kitchen in the drawing would then be y=6 inches