the area of the mojave desert is 25,000 square miles. A scale drawing of the mojave desert has an area of 10 square inches. What is the scale of the map

Given that the area of the mojave desert is 25,000 square miles and a scale drawing of the mojave desert has an area of 10 square inches.

The scale of the map is given by

[tex] \sqrt{25,000} : \sqrt{10} = \sqrt{2,500\times10} : \sqrt{10} \\ \\ =50 \sqrt{10} : \sqrt{10} =50:1[/tex]

Therefore, the scale of the drawing is 50 : 1.

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shubheetutor shubheetutor · Answer 2 · 2021-10-25T20:48:27+02:00

The scale of the drawing map is such that the area of the Mojave desert is 25,000 square miles and the scale drawing of the Mojave desert has an area of 10 square inches is [tex]50:1[/tex].

[tex]Scale =\sqrt {\dfrac{original}{new\; given}}\\Scale =\sqrt {\dfrac{25000}{10}}\\Scale =\sqrt \dfrac{2500}{1}[/tex]

[tex]Scale=\dfrac{50}{1}[/tex]

The scale of the drawing is [tex]50:1[/tex].

Hence, the scale of the drawing map is such that the area of the Mojave desert is 25,000 square miles and the scale drawing of the Mojave desert has an area of 10 square inches is [tex]50:1[/tex].

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