Question

Pleaseeeeeee I rlly need help y’all help me out PLEASE HELP ASAP WILL GIVE BRAINLEIST
Mr. Velasquez wants to make a scale drawing of a set for an upcoming play. If the actual width of the stage is 18 feet and the scale he is using is LaTeX: \frac{1}{2}in
1
2
i
n
: 15 feet. What would the width of the stage be in the scaled drawing?



Answer as a decimal.

Answer 1

Answer:

0.6 in

Step-by-step explanation:

Scale of drawing = ½ inch to 15 ft (½ in : 15 ft)

That is, ratio of the width on paper to actual width.

Given an actual width of 18 ft, the width of the stage on paper can be calculated as shown below:

½ in : 15 ft = x in : 18 ft

$\frac{\frac{1}{2}}{15} = \frac{x}{18}$

$\frac{1}{2}*\frac{1}{15} = \frac{x}{18}$

$\frac{1*1}{2*15} = \frac{x}{18}$

$\frac{1}{30} = \frac{x}{18}$

Cross multiply

$30*x = 18*1$

$30x = 18$

Divide both sides by 30

$\frac{30x}{30} = \frac{18}{30}$

$x = \frac{18}{30} = \frac{6}{10}$

$x = 0.6$

Width of the stage in scale drawing = 0.6 in