Calculus/Problem

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Question
Hey Scotto,

I need help for the following word problem:

Suppose that you draw a 2" x 2" square, then join the midpoints of its sides to make another square, then join the midpoints of that square's sides to form another square, etc. Will the total length of the figure you are drawing be finite?

The figure looks like the following:
http://img187.imageshack.us/my.php?image=scan0001hpv.jpg

A step-by-step explanation would be helpful. Thanks a lot for taking the time to answer this question Scotto. I need to know how to do this before sometime mid-Tuesday. That would be great. But even if it's late tuesday, it's cool.

Rob

Answer
I can't find the image from my computer anywhere on the internet.
I tried the full image name and also tried it reduced several times to less and less letters.  It still didn't find it.

However, it sounds like the area of each square will be exactly 1/2 the area of the square before.  If the area of all the these images are added up, the result would be twice the area of the first square.

Calculus

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Scotto

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Any kind of calculus question you want. I also have answered some questions in Physics (mass, momentum, falling bodies), Chemistry (charge, reactions, symbols, molecules), and Biology.

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Experience in the area: I have tutored students in all areas of mathematics for over 25 years. Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors. Awards and Honors: I have passed Actuarial tests 100, 110, and 135.

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Maybe not a publication, but I have respond to well oveer 7,500 questions on the PC. Well over 2,000 of them have been in calculus.

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I aquired well over 40 hours of upper division courses. This was well over the number that were required. I graduated with honors in both my BS and MS degree from Oregon State University. I was allowed to jump into a few junior level courses my sophomore year.

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I have been nominated as the expert of the month several times. All of my scores right now are at least a 9.8 average (out of 10).

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My past clients have been students at OSU, students at the college in South Seattle, referals from a company, friends and aquantenances, people from my church, and people like you from all over the world.

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