MATH SOLVE

5 months ago

Q:
# 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

Accepted Solution

A:

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.

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.