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?

shawn888

32 sq. units. It is a case of infinite series addition. Jun 26 05, 8:11 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, 8:27 PM

Create a Free FunTrivia ID to add to, request more/new answers, or edit this entry

Who was the original center square on "Hollywood Squares" when it first aired in 1966? What is the area of a "section" of farmland in Canada's prairie provinces called: one acre, one hectare, or one square mile? Does anyone know the music that accompanies the new Lexus advert on television. It's the one where the man is driving alone with the music, gets out of his car into a square full of people, and then re-enters his car to once again be alone with the music? On an average, what in the following list does one square inch of your skin hold: 650 sweat glands, 20 blood vessels, 1000 plus nerve endings, or all of these?

1 Square One TV In the mid-1980s, a math show for kids called "Square One TV" debuted on public television. The intelligent and witty show earned fans among teachers, parents and kids alike. Here's a quiz about the classic. Square One TV Difficult 10 Q neon000 Jan 19 07 201 plays 2 Back to Square One Four sides; ten questions. See if you can master different square-based questions and still keep your wits about you. Ironically, this quiz should be well-rounded. Good luck! Thematic 10Q Average Average 10 Q kyleisalive Jul 15 09 477 plays 3 "Square One TV": The Quiz "Square One TV" was a series that aired from 1987 to 1994. It educated kids on the various aspects of mathematics through music videos and parodies of game shows, among other things. See how much you can remember about "Square One". Square One TV Very Difficult 10 Q mbhall Apr 07 04 141 plays