EDIT: No, it's 2 miles.

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33307794)

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33307999)

1 square mile spread over 4 sides = 0.25 miles per side

1/4th of that but x4 for 4 sides = 0.25 miles

QED

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33307903)

Each side of a square mile is 1/4 mile. A square has 4 sides, so 1 square mile = 1/4 mile per side. A quarter section of that square mile has 1/8 mile sides. 4 * 1/8 = 1/2

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33307919)

i got 2 miles in a different way, but your reasoning makes total sense to me also.

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33307991)

divide the square into 4 equal smaller squares, so each smaller square has 0.25 sq mile area and side length 0.5 mi. the perimeter of a little square is four times the side length, so 2 miles

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33308865)

why not enlighten us, Dr. Quotemo

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33309084)

a square mile is 640 acres, so a quarter section is 160 acres. 640/4=160. A square mile is a mile on each side. You can confirm this by multiplying a mile in feet (5280) by a mile in feet (5280) and dividing by the number of square feet per acre (43560). 5280*5280/43560 = 640.

To split the full square mile section into quarter sections you have to split each side into half miles.

if you walk four half miles (because there are four sides to a square) you have walked two miles. 0.5*4=2.

You can double check this by multiplying a half mile in feet (2640) by a half mile in feet (2640) and dividing by the number of feet per acre (43560) 2640*2640/43560 = 160ac.

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33309136)

but only you got irate as fuck and spent 10 minutes typing out a furious lengthy screed about a simple problem

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33309203)

this is the typical bail out technique of a novice poaster, "OH U PUT EFFORT INTO IT HURR DURR I WIN"

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33309236)

you spent 10 minutes furiously pounding through pointless calcs when you only needed 10 seconds to get the answer

sorry about your tiny little pink 103 IQ, quotemo

sounds like u r mad, how is your blood pressure?

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33309270)

if you take a square that is 1 sq mi and divide it into four equal squares, then you will have walked 2 mi, but if you have two .5 sq mi squares that touch on a corner, that is 1 sq mi area

divide each of those squares diagonally in half and you have four .25 sq mi areas, but the perimeter of each one is 2^(1/4) + sqrt(2) mi, which is approx 2.6 mi

so like i said, op question is unanswerable without additional info, and i recall there being LR and games questions where (E) needs more information was a choice

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33309276)

https://sketch.io/render/sk-c40329cf3c828bb33d940b4704057195.jpeg

that is a 1 sq mi area of two 1/2 sq miles, then you divide into fourths

of course i did some algebra wrong when calculating the actual perimeter of one of those quarters because LJL at a math major working with actual #s

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33309355)

https://sketch.io/render/sk-c40329cf3c828bb33d940b4704057195.jpeg

https://sketch.io/render/sk-47d60718e04e94db37bc4f987140f2c7.jpeg

those three configurations are all 1 sq mi divided into equal quarters, but none of the 1/4 sq mi divisions have the same perimeter - the first is 2 mi, the second i'm too lazy to calculate and did it wrong above, and the third is 2.7-ish

there are also likely some goofy divisions you could come up with that look like long, skinny worms that wrap around each other, and you'd get some interesting perimeters that way

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33309368)

Frank Lloyd WRONG

Obviously you're not a land lawyer.

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33309467)

Square root of 1 = 1 mile (length of 1 side on full square mile)

Total perimeter of full square = 4 miles

Total perimeter of 1/4 square = 4/4 = 1

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33309986)

ANY NUMBER OF MILES OVER 2 !!!!!

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33310097)

Edit: NM. Depends on the shape of the quarters. But 2 miles if divided into 4 squares.

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#33310729)

btw, anyone who got this wrong OR changed their answer after being told they were wrong several times is severely retarded.

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#36653337)

so 150 x 1/4 of a furlong = about 20 furlongs, or about 1 mile.

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#36653822)

If you divide it into 4 squares, each has a perimeter of 2 miles.

But you can also divide it into 4 rectangles, each with a length of 1 mile and a width of 0.25 miles, in which case the perimeter of one is 2.5 miles.

The question is poorly formulated

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#36654382)

how you draw the borders affects the perimeter

hell, the OP doesn't even specify that the 640 acres is a perfect square to begin with

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#36654582)

at higher elevations shapes start to matter

(http://www.autoadmit.com/thread.php?thread_id=3614646&forum_id=2#36654600)