Question

A conference will take place in a large hotel meeting room. The organizers of the conference have created a drawing for how to arrange the room. The scale indicates that 1/2 inch on the drawing corresponds to 12 feet in the actual room. In the scale drawing, the length of the room is 3 1/3 inches. What is the actual length of the room?

Answer 1

The actual length of the room is 40 feet

Explanation:

Given

`Scale = (1)/(2)\ inch : 12\ feet`

Required

Determine the actual measurement of
`3(1)/(3)\ inches`

Represent the required actual measurement with x

i.e.

`3(1)/(3)\ inches : x`

And we have:

`(1)/(2)\ inch : 12\ feet`

`3(1)/(3)\ inches : x`

Cross Multiply

`x * (1)/(2) = 12 * 3(1)/(3)`

Convert fraction to improper fraction

`x * (1)/(2) = 12 *(10)/(3)`

`(x)/(2) = (120)/(3)`

`(x)/(2) = 40`

Multiply both sides by 2

`x = 40 * 2`

`x = 80\ feet`

The actual length of the room is 40 feet