Question

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?

i need a middle explanation because if not then my teacher will think i cheated and give me an f and my parents will not allow me to fail so could i please get a 7th grade explanation?

Answer 1

The scale of the map will be: 50 miles = 1 inch or 50 : 1

Step-by-step explanation

Actual area of the Mojave desert is 25,000 square miles and the scale drawing has an area of 10 square inches.

Suppose, the scale of the map is:
`x` miles = 1 inch

So, 1 square inches =
`x^2` square miles

and 10 square inches =
`10x^2` square miles

So, the equation will be .....

`10x^2=25000\\ \\ x^2= 2500\\ \\ x=√(2500)=50`

Thus, the scale of the map will be: 50 miles = 1 inch or 50 : 1