Question

on a map with a scale 1: 25000,the area of a lake is 33.6 square centimeters. calculate the actual area of the lake, giving your answer in square kilometers​

Answer 1

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,

$\dfrac{33.6}{A}=\dfrac{1}{25000}\\\\A = 840000\ cm^2$

We know , $1 \ cm^2 = 10^{-10}\ km^2$

Area in km² is :

$A = 840000\times 10^{-10}\ km^2\\\\A = 8.4 \times 10^{-5}\ km^2$

Hence, this is the required solution.