Question

During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the dog has to run. If the actual length of the rope is 12 1/2 feet, what is the scale used in the drawing? 1 9/16

Answer 1

Answer:

$Actual\ Length : Scale\ Length = 8 : 1$

Step-by-step explanation:

Given

$Actual\ Length = 12\frac{1}{2}ft$

$Scale\ Length = 1\frac{9}{16}ft$ --- See attachment

Required

Determine the scale used

The scale of the drawing can be represented using the following ratio

$Scale = Actual\ Length : Scale\ Length$

Substitute values for actual and scale lengths

$Scale = 12\frac{1}{2}: 1\frac{9}{16}$

Convert to improper numbers

$Scale = \frac{25}{2}: \frac{25}{16}$

Convert to division:

$Scale = \frac{25}{2}/\frac{25}{16}$

$Scale = \frac{25}{2}*\frac{16}{25}$

$Scale = \frac{1}{2}*\frac{16}{1}$

$Scale = \frac{16}{2}$

$Scale = \frac{8}{1}$

Convert to ratio

$Scale = 8 : 1$

Hence, the scale of the drawing is:

$Actual\ Length : Scale\ Length = 8 : 1$