2. an autocad drawing has a scale of 3/4 inches to 2 ft. if a piece of a bridge measures 15 feet, how long…

2. an autocad drawing has a scale of 3/4 inches to 2 ft. if a piece of a bridge measures 15 feet, how long is that piece in the autocad printout? 11.25 inches 22.5 inches 5.625 inches 51 inches
Answer
Explanation:
Step1: Set up proportion
Let $x$ be the length in the Auto - CAD printout. The proportion is $\frac{\frac{3}{4}}{2}=\frac{x}{15}$.
Step2: Cross - multiply
$2x=\frac{3}{4}\times15$.
Step3: Calculate right side
$\frac{3}{4}\times15=\frac{45}{4}$. So, $2x = \frac{45}{4}$.
Step4: Solve for $x$
$x=\frac{45}{4}\div2=\frac{45}{4}\times\frac{1}{2}=\frac{45}{8}=5.625$ inches.
Answer:
5.625 inches