Question

On a particular map, 1 inch represents an actual distance of 2.5 miles. the actual area of a lake is 12 square miles. find the area of the lake on the map

Answer 1

1.92 squared

Explanation:

1. 1/2.5=1/6.25

2. 1/6.25=x/12 (cross multiply)

3. 6.25x=12miles DIVIDE 6.25 by 6.25 and 12 by 6.25 to get...

4. x=1.92 squared

Answer 2

we have that
scale factor=1 in/2.5 miles
the actual area of a lake is 12 square miles

we know that
[area on the map]=[scale factor]²*[area actual]
[area on the map]=[1/2.5]²*[12]-----> 1.92 in²

the answer is
1.92 in²