You arrange 12 toothpicks into a large square, subdivided into four squares : 2 toothpicks on each side and four more, one each from the middle of the sides to the center of the large square. Now you have four (small) squares. Take away 2 adjacent toothpicks from the ones in the center, and you have 2 squares : one remaining small one and the large one that has the small one inside it.
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[The answer will depend on how exactly you count your squares (for instance, there are arguably 10 squares in the solution below, not 8) and whether there are any rules about how to lay the toothpicks down.] A possibility is just to make two big squares using four toothpicks each, and to divide each into four smaller squares using the four remaining toothpicks.
# Make a plus sign with 4 toothpicks. # Make a large square around the plus sign with the remaining toothpicks (2 toothpicks per side) You now have 4 small squares inside 1 large square... total of 5 squares.
The answer will depend on the starting arrangement.
The answer will depend on the starting arrangement.
The answer will depend on the starting arrangement.
The answer will depend on the starting arrangement.
Put two toothpicks per side on one square. On the other square use one toothpick per side. You will get two squares out of twelve toothpicks.
Kind of hard to draw on here, but first you make a plus sign using 4 toothpicks, then you make a box using the remaining 8 around the plus sign: ___ ___ | | | ___ ___ | | | ___ ___
You make a triangle with 3 toothpicks( /_\ ), and then 3 more triangles just like the first one.
The answer will depend on the starting arrangement.
Overlap them in a grid.
Note that the question does not say how the 5 squares are arranged. Let me specify one scenario: ____ |_|_| |_|_| |_| Take the two toothpicks from the upper left corner (the upper-right and the corner right below it will do too) and put them inside one of the remaining squares like a cross +. I can count 7 squares or 8 squares, depending on whether I count the square that contains the + or not. If your question can be more specific about the count of toothpicks, perhaps we can have a better solution. ======================
assuming by boxes you mean squares in two dimensions its easy. Make the five boxes all next to each other so they share sides then remove two toothpicks here the top and bottom of a middle box and you are left with 4.
One fat quarter yields twelve 5 inch squares
the answer is 24
5
You can make 5 triangles out of 9 toothpicks. With 6 toothpicks, make a large triangle with 2 toothpicks for each side. Now, take individual toothpicks, and make a smaller triangle inside the larger one by joining the midpoints of the sides of the previous triangle. (The vertices of the smaller triangle are the midpoints of the sides of the larger one).
Take two toothpicks that create an outside corner. Cross them like a + inside one of the remaining boxes. Count the new four smaller boxes inside it as 4, the one they are formed in as 5, and the two untouched boxes as 6 and 7. (The trick is to remember to count the larger box the 4 are formed in.)
form triangles side by side
3+1+1=5 5 toothpicks
5 or 6 Depending on what shape you are thinking of
So whats the question? If i had 5 squares remove 3 lines to make 4 squares but keep the 3 lines within the 4 squares what?
2