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A Test Of Your Skills Of Description - And Maths.

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derekpara | 12:30 Tue 19th May 2020 | Quizzes & Puzzles
13 Answers
Trying to help grandson with homework and I can't get my brain in gear. Can anyone help, please ?
Question: Using 2 lines only, divide a 6x6 square into two squares and two rectangle ?

Stumped , but I can follow a written answer !

Cheers
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there are two ways to do this.
1) draw a vertical line 1 square from the left edge, then a horizontal line one square down from the top edge
or 2) a vertical line 2 squares from the edge and a horizontal line 2 squares down from the top
A line 1/6th from one side, perpendicular.
Another line horizontal. Parallel to the bottom.
... you will then have 1 big square & 1 small square + 2 same size rectangles
like this

https://www.bbvaopenmind.com/wp-content/uploads/2019/10/Mondrian-P1-ING.png

(6x6 is the same as 4x4 for this purpose)
sorry, should have added, the bottom right-hand square would be in a different colour
Can you divide an 8 x 8 square, area 64, into a rectangle of area 65?
zebo,
that is the one where you divide the 8x8 square into two triangles and two trapezia, then reassemble them into an apparent 13x5 rectangle, but the slightly different angles mean there is actually a long gap along the diagonal, which accounts for the missing area
Question Author
Many thanks, Nescio. I would never make Bletchley Park !

Cheers.

D
Exactly, it's a bit of a con, the gradient is sligfhtly different along the diagonal, don't know how to post the picture!


Yes, that's the one! I used to use it when we were learning gradients.
Question Author
This is one piece of today's maths homework for my two grandons aged 8 and 10 !
D

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