Question

1. 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

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