Joined: Aug 2009 Posts: 4141 Location: Florida
Thanks: 121 Thanked: 143 times in 133 posts
Gender:
Carpet Layer a Geometric Puzzler
Many years ago a carpet layer showed this puzzle to me. His question was whether the area a given piece of carpet covered was constant or not. I said, 'Of course'. He proceeded to tell me he could cut a 64 sf piece of carpet and cover 65 sf area. He was right or there would be no reason for this puzzle. The puzzler is, 'how did he do it'?
Hint, start with a piece of paper and draw an 8" by 8" square.
_________________ “I think one of [James Hoffmeier’s] most important points is that we have unrealistic expectations for what archaeology can offer us as far as ‘proving’ Exodus: ‘After all, what evidence, short of an inscription in a Proto-Canaanite script stating “bricks made by Hebrew slaves” would be considered proof that the Israelites were in Egypt. Archaeology’s ability … is quite limited.’” Jeff Lambert, Editorial Associate, Biblical Archaeological Review. via email January 26, 2010 8:20:58 AM. [email receipiant redacted for privacy reasons. See Thread-The Bible's Buried Secrets for full text.]
Joined: Aug 2009 Posts: 4141 Location: Florida
Thanks: 121 Thanked: 143 times in 133 posts
Gender:
Re: Carpet Layer a Geometric Puzzler
Draw a line straight across the paper at 5" You will now have two rectangles
a 5" by 8" and
a 3" by 8"
_________________ “I think one of [James Hoffmeier’s] most important points is that we have unrealistic expectations for what archaeology can offer us as far as ‘proving’ Exodus: ‘After all, what evidence, short of an inscription in a Proto-Canaanite script stating “bricks made by Hebrew slaves” would be considered proof that the Israelites were in Egypt. Archaeology’s ability … is quite limited.’” Jeff Lambert, Editorial Associate, Biblical Archaeological Review. via email January 26, 2010 8:20:58 AM. [email receipiant redacted for privacy reasons. See Thread-The Bible's Buried Secrets for full text.]
Joined: Aug 2009 Posts: 4141 Location: Florida
Thanks: 121 Thanked: 143 times in 133 posts
Gender:
Re: Carpet Layer a Geometric Puzzler
Divide the 3" by 8" rectangle into two equal right triangles.
There is one more step after this one and then you will cut apart the figures into four pieces which you will rearrange into a rectangle.
If you can figure out the final line to draw on the 5 by 8 rectangle post the endpoints otherwise I will provide the solution tomorrow.
_________________ “I think one of [James Hoffmeier’s] most important points is that we have unrealistic expectations for what archaeology can offer us as far as ‘proving’ Exodus: ‘After all, what evidence, short of an inscription in a Proto-Canaanite script stating “bricks made by Hebrew slaves” would be considered proof that the Israelites were in Egypt. Archaeology’s ability … is quite limited.’” Jeff Lambert, Editorial Associate, Biblical Archaeological Review. via email January 26, 2010 8:20:58 AM. [email receipiant redacted for privacy reasons. See Thread-The Bible's Buried Secrets for full text.]
Joined: Aug 2009 Posts: 4141 Location: Florida
Thanks: 121 Thanked: 143 times in 133 posts
Gender:
Re: Carpet Layer a Geometric Puzzler
Lay the 5 by 8 rectangle out and draw a diagonal from the 5 inch point to the 3 inch point on the long side.
Cut the rectangle into two pieces along the line.
Now take these pieces and the two right triangles and arrange them into a rectangle with sides 5 by 13
You started with a square 8 by 8 = 64 si now you have a rectangle 8 by 13 = 65 si
How is that possible?
_________________ “I think one of [James Hoffmeier’s] most important points is that we have unrealistic expectations for what archaeology can offer us as far as ‘proving’ Exodus: ‘After all, what evidence, short of an inscription in a Proto-Canaanite script stating “bricks made by Hebrew slaves” would be considered proof that the Israelites were in Egypt. Archaeology’s ability … is quite limited.’” Jeff Lambert, Editorial Associate, Biblical Archaeological Review. via email January 26, 2010 8:20:58 AM. [email receipiant redacted for privacy reasons. See Thread-The Bible's Buried Secrets for full text.]
Joined: Aug 2009 Posts: 4141 Location: Florida
Thanks: 121 Thanked: 143 times in 133 posts
Gender:
Re: Carpet Layer a Geometric Puzzler
johnson1010 wrote:
the slopes of your cuts are not the same. In the difference lies the area of the additional apparent square inch.
Why didn't you post the slopes?
3/8 2/5
15/40 16/40
Did you get the point?
_________________ “I think one of [James Hoffmeier’s] most important points is that we have unrealistic expectations for what archaeology can offer us as far as ‘proving’ Exodus: ‘After all, what evidence, short of an inscription in a Proto-Canaanite script stating “bricks made by Hebrew slaves” would be considered proof that the Israelites were in Egypt. Archaeology’s ability … is quite limited.’” Jeff Lambert, Editorial Associate, Biblical Archaeological Review. via email January 26, 2010 8:20:58 AM. [email receipiant redacted for privacy reasons. See Thread-The Bible's Buried Secrets for full text.]
Users browsing this forum: No registered users and 10 guests
You cannot post new topics in this forum You cannot reply to topics in this forum You cannot edit your posts in this forum You cannot delete your posts in this forum You cannot post attachments in this forum
Love to talk about books but don't have time for our book discussion forums? For casual book talk join us on Facebook.
Support BookTalk.org
BookTalk.org is being upgraded to a totally new design. This upgrade is expensive. Any support would be VERY helpful! See who supports us.
Make a donation
PEOPLE PAYING FOR OUR UPGRADE:
• afv - $10 May
• LevV - $50 March
• Dexter - $10 March
• supernova38 - $25 March
• Oblivion - $20 March
• jheimlich - $20 February
• Robert Tulip - $50 February
• giselle - $50 January
Children here need worming
regularly, and I think I
need to buy more worming
tablets, so while my friends
sit on the beach, I have to
catch bush taxis up to the… more
The children have a long way
to walk to the nearest primary
school. At the moment they are
in temporary accommodation,
with volunteer teachers. There
is community land available,
a… more
The price of The 12th Disciple
has been updated to $3.99 for
Kindle readers. The book is
still available for free to
borrow for Amazon Prime
members. To be
competitive, and s… more
The 12th Disciple has been
reviewed by two different
people on Amazon. They
purchased the Kindle edition;
one in the US, one in the
UK. One review was
5-stars (US) and the oth… more
I'd like to say I've
been reading Harry Potter
since the day the world renown
series appeared on the
scene. Unfortunately,
the truth is I began reading
Harry Potter… more
Easter teaches many of us the
importance of redemption and
resurrection. Regardless of
what faith people follow, the
story of Jesus Christ has been
told in many languages in many
c… more
Our Book Talk will begin on
Wednesday, May 2nd. I look
forward to hearing about your
learning and classroom
experiences with Number Talks
as it all unfolds...
NONOPPOSITIONAL NONVIOLENCE
The minute you conquer the
fear of death, at that moment
you are free. I submit to you
that if a man hasnt
discovered something that he
will die f… more
Yesterday, when I went to feed
Jeni the donkey, I noticed
swarms of bees entering
Ebrimas house through the
cracks in the door. We both
had a look, but he didnt
open his door… more
Whether you want to implement
number talks but are unsure of
how to begin or have
experience but want more
guidance in crafting
purposeful problems, this
dynamic multimedia resourc… more
Do you feel entitled? For
years I have listened to and,
in some instances, complained
that some people in America
feel entitled. For years I
have watched as these people
are portra… more
On Fat Tuesday and Ash
Wednesday of 2012, The 12th
Disciple was free to Kindle
users on both days. In all,
about 550 worldwide Kindle
users downloaded a copy of the
book.
Sacred Are the Brave a
collection of short stories
about the nonviolent
revolutions 1986-1989 is now
available in Kindle. Each of
the nine stories has
characters who are just
… more
The Weekend Trippers is the
true story of Rfn Ted Taylor
and his part in the heroic
last stand in Calais May 1940.
The Weekend Trippers is based
on Teds diaries written at
the… more
Tell your friends when to meet you in the BookTalk.org Chat Room.
If you enjoy business bestsellers and would like to expand your business knowledge check out the quality book summaries offered by the world's leading book summary company.
BookTalk.org is a free book discussion group or online reading group or book club. We read and talk about both fiction and non-fiction books as a group. We host live author chats where booktalk members can interact with and interview authors. We give away free books to our members in book giveaway contests. Our booktalks are open to everybody who enjoys talking about books. Our book forums include book reviews, author interviews and book resources for readers and book lovers. Discussing books is our passion. We're a literature forum, or reading forum. Register a free book club account today! Suggest nonfiction and fiction books. Authors and publishers are welcome to advertise their books or ask for an author chat or author interview.
Tweet This Topic
