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?

Carol Gates

Carol Gates

Answered question

2021-02-11

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?

Answer & Explanation

Daphne Broadhurst

Daphne Broadhurst

Skilled2021-02-12Added 109 answers

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 that1 inch2 feet=drawing lengthactual length.
a. Let x be the actual length of the hallway. If the length in the drawing is 5 inches, then:
1 inch2 feet=drawing lengthactual length
1 inch2 feet=5 inchesx feet
1(x)=2(5)
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:
1 inch2 feet=drawing lengthactual length
1 inch2 feet=y inches12 feet
112=2(y)
12=2y
6=you
The length of the kitchen in the drawing would then be y=6 inches

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