# A scale drawing of a billboard uses the scale 4cm : 9ft. The length of the billboard in the drawing is 11cm. How long is the actual billboard?

Jun 11, 2018

$24.75$ ft.

#### Explanation:

We essentially have the following ratio:

$\frac{4}{9} : \frac{11}{x}$

where $x$ is the length of the actual billboard.

We can solve this by cross-multiplying. We get

$4 x = 99$

Dividing by $4$, we get

$x = \frac{99}{4}$, or $24.75$ ft.

Hope this helps!