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Savatey [412]
3 years ago
5

The scale of a certain map is 4/5 inch = 16 miles. A square park is represneted on the map by a square with side length 5/8 inch

. What is the actual area of this park? Express your area as a decimal to the nearest hundredth.
Mathematics
1 answer:
lions [1.4K]3 years ago
8 0

Answer:

The area of this park is 130.60 square miles.

Step-by-step explanation:

Given : The scale of a certain map is \frac{4}{5} inch = 16 miles. A square park is represented on the map by a square with side length \frac{5}{8} inch.

To find : What is the actual area of this park?

Solution :

The scale of a certain map is \frac{4}{5} inch = 16 miles.

Let the side length of \frac{5}{8} inch = x miles.

So, \dfrac{\frac{4}{5}}{\frac{5}{8}}=\dfrac{16}{x}

\dfrac{4\times 8}{5\times5}=\dfrac{16}{x}

\dfrac{32}{25}=\dfrac{16}{x}

x=\dfrac{16\times 25}{35}

x=11.428

The side length of a square is 11.428 miles.

The area of the square is A=s^2.

A=(11.42)^2

A=130.599\ miles^2

To nearest hundredth,

The area of this park is 130.60 square miles.

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