Tiffany sketched a picture of a car she used the scale 2 inches : 12 feet the car in her sketch is 8 inches long what is the length in feet of the actual car

Respuesta :

Answer:

The actual length of car is 48 feet.

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 [tex]x\ feet.[/tex]

And the length of car in her sketch is 8 inches.

So, the ratio of the scale used by Tiffany as given is 2 inches : 12 feet.

Now, to get the actual length of car by using cross multiplication method:

[tex]\frac{2\ inches}{12\ feet} =\frac{8\ inches}{x\ feet}[/tex]

⇒ [tex]\frac{2}{12} =\frac{8}{x}[/tex]

By cross multiplying we get:

⇒ [tex]2x=96[/tex]

Dividing both sides by 2 we get:

⇒ [tex]48=x[/tex]

⇒ [tex]x=48\ feet.[/tex]

Therefore, the actual length of car is 48 feet.