Question

. The land area of Charlotte, NC is approximately 3 x 102 square miles.

There are 6.4 x 102 square acres in a square mile. How many square
acres are in the city of Charlotte?
A 1.92 x 105 square acres
B. 2.13 x 104 square acres
C. 4.7 x 105 square acres
D. 9.4 x 104 square acres

Answer 1

Option A

Explanation:

Land area of Charlotte, NC =
`3* 10^2` square miles

Scale to be used,

1 square miles =
`6.4* 10^2` square acres

By this scale,

`3* 10^2` square miles =
`(6.4* 10^2)*(3.2* 10^2)` square acres

=
`(6.4* 3)* 10^(2+2)`

=
`19.2* 10^4` square acres

=
`1.92* 10^5` square acres

Therefore, Option A will be the correct option.