A building blueprint has a scale of 2 inches equal to 25 feet. on the blueprint, the 10 story building has a height of 12 inches what is the actual height of 1 story

Verified Answer :

2 inches: 25 feet.

1 inch:  25/2 feet

1 inch = 12.5 feet.


12 inches = 12.5 * 12 feet

                   = 150 feet.

The 12 inches height has an actual height of 150 feet.

Answer:

The actual height of 1 story is 15 feet.

Step-by-step explanation:

The given scale is

\(2 \ inches = 25 \ feet\)

We know the 10 story building has a height of 12 inches, but we need the actual height of 1, that is, the height of 1 story in feet.

Let's divide to find the number of inches per story

\(\frac{12}{10}=1.2\)

There are 1.2 inches per story.

Now, we know \(2 \ inches = 25 \ feet\), let's use the rule of three

\(x=1.2in\frac{25ft}{2in}= 15ft\)

Therefore, the actual height of 1 story is 15 feet.