an engineer created a scale drawing of a building using a scale in which 0.25 inch represents 2 feet. the…

an engineer created a scale drawing of a building using a scale in which 0.25 inch represents 2 feet. the length of the actual building is 250 feet. what is the length in inches of the building in the scale drawing?

an engineer created a scale drawing of a building using a scale in which 0.25 inch represents 2 feet. the length of the actual building is 250 feet. what is the length in inches of the building in the scale drawing?

Answer

Explanation:

Step1: Set up proportion

Let $x$ be the length in inches of the building in the scale - drawing. The proportion is $\frac{0.25}{2}=\frac{x}{250}$.

Step2: Cross - multiply

$2x = 0.25\times250$.

Step3: Calculate the right - hand side

$0.25\times250=\frac{1}{4}\times250 = 62.5$. So, $2x=62.5$.

Step4: Solve for $x$

$x=\frac{62.5}{2}=31.25$.

Answer:

$31.25$