Given :
On a map with a scale 1: 25000 .
The area of a lake is 33.6 square centimeters.
To Find :
The actual area of the lake.
Solution :
Let, actual area of lake is A.
So,
[tex]\dfrac{33.6}{A}=\dfrac{1}{25000}\\\\A = 840000\ cm^2[/tex]
We know , [tex]1 \ cm^2 = 10^{-10}\ km^2[/tex]
Area in km² is :
[tex]A = 840000\times 10^{-10}\ km^2\\\\A = 8.4 \times 10^{-5}\ km^2[/tex]
Hence, this is the required solution.