Question

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?

Answer 1

15/2 or 7 1/2 square centimeters

Step-by-step 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:

`\begin{gathered} (5)/(4)\text{ sq cm : }(1)/(6)\text{ sq mi} \\ Multiply\text{ both sides by }(6)/(1)\text{:} \\ (5)/(4)\cdot6\text{ sq cm : }(1)/(6)\cdot\text{ }(6)/(1)\text{ sq mi} \\ (15)/(2)\text{ sq cm : 1 sq mi} \end{gathered}`

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