Squirrel math problem?

There is a squirrel. He buries acorns 9 inches apart along a 3-foot long line, then turns 90掳 and buries acorns in a straight line for another 3 feet, and continues in this manner until he has completed a perfect square. Each side of the square is three feet long. how many acorns Square Sam buries to complete his square? please help asap!!!Squirrel math problem?
In total, the squirrel walks 12 feet. 9 inches into 12 feet goes 16, so 16 acorns were buried. (We do not need to worry about end-points as the path is a cycle)Squirrel math problem?
I had to look at your question. I didn't know what squirrel math was.


Draw a square ABCD.


At A put a dot, If AB = 36 inches long, there are 4 intervals of 9' each at which points acorns are put, but you have a starting point and a finishing one, therefore there are 5 such points. On BC there are 5 also, except we're already counted the one at B so you only get 4 new ones. Same for CD. Now at DA you get 5 again but D was already counted, and A was already counted, so you finally end up with 5 + 4 + 4 + 3 =16.
16.





4 corners plus 3 in between on each side





4 + 12 = 16
Let's consider a line. He buries one at 0, 9, 18, 27, and 36 inches in the line. That's five acorns. There are four sides...so, that's twenty acorns.





But wait! We double-counted the corners...because acorn 0 of one line is acorn 36 of the other. So, there are actually 16 acorns buried.
roll up deep into this steeze, that's what it sez. ace!
Since 3 feet = 36 inches, and the acorns are 9 inches apart, there are 5 acorns at each side (4 spaces, each 9 inches); note that I counted corner acorns twice.





The following figure shows the solution: ( * = acorns, - = empty space)





* * * * *


* - - - *


* - - - *


* - - - *


* * * * *





There are 5 + 3 + 3 + 5 = 16 acorns.
OK





Key is to see that 3 feet = 36 in. and 36 in/9 = 4.





So in the first side he buries 5 acorns, then he buries 4 then 4 more and the last side he buries 3.





So the total he buries? 16.





Draw it for yourself and you will see!





Hope this helps.