Register - Log In


FunTrivia Homepage


  • New Questions

  • Unanswered


  • Post a Question

    • Goto Qn #




    Archives

    There is a square with one side being 4 units long. Another square is constructed by connecting the midpoints of the sides of the first square. Another square is constructed by connecting the midpoints of the sides of the second square, and again with this one, and again with all other squares generated. There will be an infinite number of squares. What is their combined area?

    Question #57972. Asked by ogicu8abruok. (Jun 26 05 5:58 PM)


    shawn888

    		32 sq. units. It is a case of infinite series addition.

    Jun 26 05, 7:11 PM
    gmackematix

    		In fact if you take the second, fourth, sixth, etc. squares in this series and cut each of them into four right triangles but leave the first, third, fifth, etc. squares in tact, then all the pieces can be rearranged as an infinite piece jigsaw to fit into a 4 by 8 rectangle.

    Jun 26 05, 7:27 PM

    Find something useful here? Please help us spread the word about FunTrivia. Recommend this page below!


    Sign up to see all responses!

    Create a Free ID instantly to see all recent responses, post your own follow-ups or questions, and access over 1,000,000 trivia questions!

    Choose a User Name:
    Your Email Address:
    Choose a Password:

    I agree by the terms outlined in FunTrivia's Conditions of Use




    Other Similar Questions & Answers


    What's the largest square in the world, as in a public square such as Place de la Concorde or Trafalgar Square?

    A whole number is said to be a square if it is equal to some whole number multiplied by itself. The following are square numbers: 25 (5 X 5) and 144 (12 X 12). How would you place the numbers 1 to 15 next to each other (without repeating any of them) in such a way that the sum of the numbers in any two consecutive space is always a square?

    How many numbered squares are there in a sliding square puzzle?

    Suggested Related FunTrivia Quizzes - 90,000 currently online

    1 17 Again
    Who says you're only young once? Zac Efron and Matthew Perry star in this comedy about a 30-something getting a chance to re-do his senior year in high school.
    		Sa - Sf Movies Average
    10 Q
    iznibs
    Jan 27 11
    312 plays
    2 And Then There Was One
    Start with a ten letter word, remove one letter and rearrange, to get the next word, until you are left with a one letter word. If you get stuck on a word, try the next one and work back.
    		Drop a Letter Average
    10 Q
    delboy22
    Nov 02 09
    762 plays
    3 The One
    This movie was amazing. The effects coud not be missed. Anyway, this is a basic quiz of multiple choice. If you notice any mistakes the let me know.
    		One, The Average
    10 Q
    bigfoot01
    Feb 20 02
    705 plays




    "Ask FunTrivia" is for entertainment purposes only, and answers offered are unverified and unchecked by FunTrivia. We cannot guarantee the accuracy or veracity of ANY statement posted. Feel free to post an updated response if you feel that an answer is inadequate or incorrect. Please thoroughly research items where accuracy is important to you using multiple reliable sources. By accessing our website, you agree to be bound by our terms of service.