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. a) 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?

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calculista calculista · Answer 1 · 2019-09-24T11:32:02+02:00

Answer:

The length of each side of the square park is 2,400 ft

Step-by-step explanation:

we know that

The scale is [tex]\frac{1}{200}\frac{in}{ft}[/tex]

step 1

Remember that

1 ft=12 in

The length of each side on the map is 1 ft

Convert ft to in

1 ft=1(12)=12 in

step 2

Find the length of each side of the square park

using proportion

Let

x ----> the actual length of each side of the square park

[tex]\frac{1}{200}\frac{in}{ft}=\frac{12}{x}\frac{in}{ft}\\\\x=200*12\\\\x=2,400\ ft[/tex]