# 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?

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?
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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.
a. Let x be the actual length of the hallway. If the length in the drawing is 5 inches, then:

$1\left(x\right)=2\left(5\right)$
$x=10$
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:

$\frac{1}{12}=2\left(y\right)$
$12=2y$
$6=you$
The length of the kitchen in the drawing would then be y=6 inches

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