Can u turn this recatangle in to a square cutting only two peices. With out leving any square behind?

Question

Please help me on this!!!!!!
The rectangle is 4 squares on the bottom and 9 squares up
so it's 4 by 9 so u supposed to have 36 squares in total and it's supposed to look like a rectangle.

Answer 1

Your responders are telling you how to solve the problem with three pieces. But the problem calls for TWO pieces.

Here's how to do it in two pieces.

Begin your cut on the left side, 3 squares from the top.
Cut from the left side a distance of 2 squares into the rectangle (i.e., half-way across).
From that point, cut downward (down the middle) 3 squares.
Finally start cutting to the right again, and complete your cut at the right side, 3 squares from the bottom.

Then just move the top piece over to the right and down, and it will fit with the other piece to form a 6x6 square.

Here's a diagram:

a a a a
a a a a
a a a a
b b a a
b b a a
b b a a
b b b b
b b b b
b b b b

Just cut between the a's and the b's and you'll have your two pieces.

Answer 2

so if your rectangle has an area of 36 you would need a square 6 x 6

So you need a piece 2 x 6 to add on.

Go up 6 from the base and draw a line. That piece will be 3 x 4. Now cut that piece into two 3 x 2 pieces.

You can now make a square 6 x 6.

Answer 3

Cut it like this:

Leave the bottom 6 rows as is (so you have 4 across by 6 high on the bottom). Look at the remaining piece, which is a 4 across by 3 high piece on top. Cut this in half, so that you have two pieces that are 2 across and 3 high.

Now take these two pieces and stack them to the right of your 4 by 6 piece ... Stack your two pieces one on top of each other, so that you have a piece that's 2 across by 6 high.

It's kind of hard to explain visual problems like this using only words. So let me try to draw it. See below for your 4 by 9 rectangle. The pieces marked with the a's and x's are what we are going to cut and move to get a square:

RECTANGLE:

a a x x
a a x x
a a x x
o o o o
o o o o
o o o o
o o o o
o o o o
o o o o

SQUARE:

o o o o a a
o o o o a a
o o o o a a
o o o o x x
o o o o x x
o o o o x x

Hope that helped!

~ ♥ ~

Answer 4

You need to clarify the question. You have 9x4.

If you "cut 2 pieces" I would first cut into a 6x4 leaving a 3x4. Cut the 3x4 into 2 pieces (I.e. we're cutting the second piece) and line up the resulting 3x2 pieces beside the big piece to expand the 4x6 to 6x6.

Answer 5

ok, so the rectangle looks like this:

. . . .
. . . .
. . . .
. . . .
. . . .
. . . .
. . . .
. . . .
. . . .

Now cut it twice to get these pieces (2 2x3 pieces and 1 6x4 piece):

. . . .
. . . .
. . . .

. . . .
. . . .
. . . .
. . . .
. . . .
. . . .

The cuts were made here:
. . | . .
. . | . .
. . | . .
-------
. . . .
. . . .
. . . .
. . . .
. . . .
. . . .


If we call those pieces 1, 2 and 3, attach the pieces so they look like this:

13
23

The square will look like this:

. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .


With the seam lines here:

. . | . . . .
. . | . . . .
. . | . . . .
----
. . | . . . .
. . | . . . .
. . | . . . .

Although they do not look like squares, if you count the dots you see that they are!