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 2021-02-11 Answered
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?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Daphne Broadhurst
Answered 2021-02-12 Author has 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

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more