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?

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Answer 1 · 2016-07-21T21:41:26

$2.5$ inches

Since $6$ feet correspond to $0.5$ inches
$1$ foot will correspond to $0.5/6$ inches
$30$ feet will correspond to $(0.5/6)30$ inches = $2.5$ inches

Answer 2 · 2016-07-21T21:54:09

The wall will be $2 1/2$ inches long on the drawing

Using ratio:

Write 0.5 inches to 6 feet as:

$" "0.5/6$

Let the unknown scale down size be $x$

Then we have:

$" "color(brown)(0.5/6=x/30)$

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 $30/30=1$

$" "(30xx0.5)/6=1xx x$

$" "x=2 1/2$