a local park is in the shape of a square. a map of the local park is made with the scale 1 inch to 200 feet. if the park is shown as a square on the map, each side of which is one foot long, how long is each side of the square park?

Respuesta :

Answer:

Each side length of the park is 2400 feet.

Step-by-step explanation:

Since scale used to draw the map was 1 inch to 200 feet.

scale factor = [tex]\frac{\text{Lengths on map}}{\text{Actual length of park}}=\frac{1}{200}[/tex]

If the length of the square park on the map is = 1 feet or 12 inches

Then, [tex]\frac{12}{\text{Actual length of park}}=\frac{1}{200}[/tex]

Actual length of the park = 200×12

                                         = 2400 feet

Therefore, actual length of the park is 2400 feet.

The length of a side of a park is 2400 feet

A scale drawing is a smaller image of another larger image. Scale drawing is usually reduced at a constant dimension

The scale used is 1 inch ; 200 feet

This means that on the map, 1 inch represents 200 feet.

Based on the information given in the question, the length of a side on the map is 1 foot long.

1 foot = 12 inches

So, one foot is equivalent to 12 inches

Length of the side of the square park = 12 x 200 = 2400 feet

To learn more about scale drawings, please check: https://brainly.com/question/980463?referrer=searchResults

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