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

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

Explanation:

Given

`Actual\ Length = 12(1)/(2)ft`

`Scale\ Length = 1(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(1)/(2): 1(9)/(16)`

Convert to improper numbers

`Scale = (25)/(2): (25)/(16)`

Convert to division:

`Scale = (25)/(2)/(25)/(16)`

`Scale = (25)/(2)*(16)/(25)`

`Scale = (1)/(2)*(16)/(1)`

`Scale = (16)/(2)`

`Scale = (8)/(1)`

Convert to ratio

`Scale = 8 : 1`

Hence, the scale of the drawing is:

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