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

Answer:

The actual length of the room is 40 feet

Step-by-step explanation:

Given

$Scale = \frac{1}{2}\ inch : 12\ feet$

Required

Determine the actual measurement of $3\frac{1}{3}\ inches$

Represent the required actual measurement with x

i.e.

$3\frac{1}{3}\ inches : x$

And we have:

$\frac{1}{2}\ inch : 12\ feet$

$3\frac{1}{3}\ inches : x$

Cross Multiply

$x * \frac{1}{2} = 12 * 3\frac{1}{3}$

Convert fraction to improper fraction

$x * \frac{1}{2} = 12 *\frac{10}{3}$

$\frac{x}{2} = \frac{120}{3}$

$\frac{x}{2} = 40$

Multiply both sides by 2

$x = 40 * 2$

$x = 80\ feet$

The actual length of the room is 40 feet