Question

The height of a building on a 1/4 inch: 1 foot scale drawing is five inches tall. How tall is the actual building?

Answer 1

Answer:

The height of the building is $1\frac{1}{4}\ feet.$

Step-by-step explanation:

Given:

Scale drawing is 1/4 inch: 1 foot.

The height of the building in drawing is 5 inches.

Now, to find the actual height of the building.

Let the actual height be $x.$

The height of the building in drawing = $5\ inches.$

The ratio of the scale drawing is $\frac{1}{4}\ inch:1\ foot.$

So, $\frac{1}{4}\ inch$ is equivalent is 1 foot.

Thus, 5 inches is equivalent to $x.$

Now, to get the actual height of the building by using cross multiplication method:

$\frac{\frac{1}{4}}{1} =\frac{5}{x}$

$\frac{4}{1} =\frac{5}{x}$

By cross multiplying we get:

$4x=5$

Dividing both sides by 4 we get:

$x=\frac{5}{4}$

$x=1\frac{1}{4}$

Therefore, the height of the building is $1\frac{1}{4}\ feet.$