a Park has an area of 1/6 square mi. on a map, the park has an area of 1 1/4 square cm. on the map, how many square centimeters represent 1 square mi?

Respuesta :

ANSWER

15/2 or 7 1/2 square centimeters

EXPLANATION

The actual area of the park is 1/6 square mi.

The area of the park on the map is 1 1/4 square cm or 5/4 square cm

To find how many square cm represents 1 square mi, we have to find the ratio the area on the map to the actual area.

That is:

[tex]\begin{gathered} \frac{5}{4}\text{ sq cm : }\frac{1}{6}\text{ sq mi} \\ Multiply\text{ both sides by }\frac{6}{1}\text{:} \\ \frac{5}{4}\cdot6\text{ sq cm : }\frac{1}{6}\cdot\text{ }\frac{6}{1}\text{ sq mi} \\ \frac{15}{2}\text{ sq cm : 1 sq mi} \end{gathered}[/tex]

So, 15/2 or 7 1/2 square centimeters represent 1 square mile.eter