An artist makes a scale drawing of a new lion enclosure at the zoo. The scale is 1 in : 25 ft. On the drawing, the length of the enclosure is 7.25 inches. What is the actual length of the lion enclosure in feet?

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Answer:

The actual length of the lion enclosure is 181.25 feet.

Step-by-step explanation:

Given:

An artist makes a scale drawing of a new lion enclosure at the zoo.

The scale is 1 in : 25 ft.

On the drawing, the length of the enclosure is 7.25 inches.

Now, to find the actual length of the lion enclosure in feet.

Let the actual length of the lion enclosure in feet be [tex]x.[/tex]

As given the  scale is 1 in : 25 ft.

So, 1 in is equivalent to 25 ft.

Thus, 7.25 inches is equivalent to [tex]x.[/tex]

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

[tex]\frac{1}{25} =\frac{7.25}{x}[/tex]

By cross multiplying we get:

[tex]x=181.25\ feet.[/tex]

Therefore, the actual length of the lion enclosure is 181.25 feet.