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 s

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​

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Neala 4 years 2021-08-14T18:38:31+00:00 1 Answers 623 views 1

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    2021-08-14T18:39:40+00:00

    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.

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