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?

2 Answers
Jul 21, 2016

Answer:

#2.5# inches

Explanation:

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

Jul 21, 2016

Answer:

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

Explanation:

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#