# A drawing of a property is to the scale of 0.5 inches to 6 feet. If a wall is 30 feet long what would its length be on the drawing?

Jul 21, 2016

$2.5$ inches

#### Explanation:

Since $6$ feet correspond to $0.5$ inches
$1$ foot will correspond to $\frac{0.5}{6}$ inches
$30$ feet will correspond to $\left(\frac{0.5}{6}\right) 30$ inches = $2.5$ inches

Jul 21, 2016

The wall will be $2 \frac{1}{2}$ inches long on the drawing

#### Explanation:

Using ratio:

Write 0.5 inches to 6 feet as:

$\text{ } \frac{0.5}{6}$

Let the unknown scale down size be $x$

Then we have:

$\text{ } \textcolor{b r o w n}{\frac{0.5}{6} = \frac{x}{30}}$

To get $x$ on its own multiply both sides by 30

color(brown)(0.5/6=x/30)" "->" "color(brown)(color(blue)(30xx)0.5/6" "=" "(color(blue)(30))/30 xx x)

But $\frac{30}{30} = 1$

$\text{ } \frac{30 \times 0.5}{6} = 1 \times x$

$\text{ } x = 2 \frac{1}{2}$