See the figure.
Cut the board shown in the figure into four identical parts so that each of them contains three shaded cells.
Cut the board in half vertically.
See the figure.
Cut a square into three pieces, from which you can construct a triangle with three acute angles and three different sides.
See the figure $($equal parts are shaded the same$)$.
Two boys had two square cakes. Each made two straight cuts on his cake from edge to edge. In this case, one ended up with three pieces, and the other with four. How could this be?
Giuseppe has a sheet of plywood, measuring $22 \times 15$. Giuseppe wants to cut out as many rectangular blocks of size $3 \times 5$ as possible. How should he do it?
Pay attention, more than 22 such blocks can not be obtained. Why?
First of all, we note that Giuseppe can not get more than $(22 \times 15) / (3 \times 5)$ = 22 blocks. Now let’s start cutting.
Cut our sheet three times across the sides of which are of length 22, creating sections of size $5 \times 15$, $5 \times 15$ and $12 \times 15$. Now the third piece is cut along the side of length 12 into four equal pieces of size $3 \times 15$. This gives a total of 6 pieces – two $5 \times 15$ and four $3 \times 15$. From the first two pieces we can get 5 pieces of size $5 \times 3$, and from the remaining four – 3 pieces of size $3 \times 5$. In total, we get 22 pieces $($see the picture$)$.
Cutting into four parts. Cut each of the figures into four equal parts $($you can cut along the sides and diagonals of cells$)$.
