Question

a typical scale for a house plan is 1/4 inch to 1 foot. if the width of a room on such a plan measures 3 1/2 inches, what is the actual width of the room. solve with mathematical model

Answer 1

14 feet

Explanation:

let x = the actual width of the room

first, model the problem:

3 2/4 inches / 1/4 inches = x / 1 foot

second, cross multiply:

1/4x inches = 3 2/4 inches

third, divide / cancel out:

1/4x inches / 1/4 inches = 3 2/4 inches / 1/4 inches

last, you have the answer:

x = 14 feet.

so, the actual width of the room is 14 feet.

(all the /'s are fractions, hope this helped!)