## Task 1 - 130621

A rectangular glass pane is $24 \mathrm{~cm}$ long and $22 \mathrm{~cm}$ wide. From this, rectangular panes of $8 \mathrm{~cm}$ length and $6 \mathrm{~cm}$ width are to be cut.

What is the maximum number of such panes that can be obtained?

Illustrate a way to achieve this maximum number in a drawing at a scale of 1 : 2!

![](https://cdn.mathpix.com/cropped/2024_06_06_b85a894aa8dbf722a7b3g-0202.jpg?height=323&width=282&top_left_y=581&top_left_x=293)
The entire glass pane has an area of $24 \cdot 22=528$ square centimeters. Each of the smaller glass panes has an area of $6 \cdot 8=48$ square centimeters.

Since $528: 48=11$, a maximum of 11 such smaller panes can be cut from the large one.

That this is actually possible is shown by the illustration.