# Land question

• Jan 21st 2010, 04:13 PM
BIGZIPZ
Land question
If there is a piece of square land, which is 7450 miles squared and you wanted to cross from the very left to the very right in a straight line how many miles would you travel?

How long would it take to travel this route at 80mph ?

Thanks alot
• Jan 22nd 2010, 01:47 AM
earboth
Quote:

Originally Posted by BIGZIPZ
If there is a piece of square land, which is 7450 miles squared and you wanted to cross from the very left to the very right in a straight line how many miles would you travel?

How long would it take to travel this route at 80mph ?

Thanks alot

1. Geometrically you want to know the length of the diagonal of a square.

Let s denote the length of one side of the square and A the area of the square.

Then

$s = \sqrt{A}$

According to Pythagorean theorem the length of the diagonal is:

$d = \sqrt{s^2+s^2} = \sqrt{2A}$

2. Since the speed is $\dfrac{distance}{elapsed\ time}$ the traveling time is:

$time=\dfrac{distance}{speed}$

For confirmation only: I got t = 1 h 31 min 33 s