Answer:
The actual length in feet of the car is <u>48 feet</u>.
Step-by-step explanation:
Given:
Tiffany sketched a picture of a car she used the scale 2 inches : 12 feet.
In her sketch the car is 8 inches long.
Now, to find the length in feet of the actual car.
Let the actual length of car in feet be ![x\ feet.](https://tex.z-dn.net/?f=x%5C%20feet.)
And the length of car in her sketch is 8 inches.
Thus, 8 inches is equivalent to
.
So, the ratio of the scale used by Tiffany as given is 2 inches : 12 feet.
Thus, 2 inches is equivalent to 12 feet.
Now, to get the actual length of car by using cross multiplication method:
![\frac{2}{12} =\frac{8}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B12%7D%20%3D%5Cfrac%7B8%7D%7Bx%7D)
By cross multiplying we get:
⇒ ![2x=96](https://tex.z-dn.net/?f=2x%3D96)
<em>Dividing both sides by 2 we get:</em>
⇒ ![x=48](https://tex.z-dn.net/?f=x%3D48)
⇒ ![x=48\ feet.](https://tex.z-dn.net/?f=x%3D48%5C%20feet.)
Therefore, the actual length in feet of the car is 48 feet.