# Math - bobpursley, Monday, September 14, 2009 at 5:24pm
The base of the rectangle can go from 3 to 22 along the base.
3x22
4x21
5x20
6x19
...
22x3
Ok, looks like to me it is 22-2 ways.
# Math - Van , Monday, September 14, 2009 at 5:31pm
sorry... i don't understand
In the given conversation, the question being discussed is about the number of ways to arrange the dimensions (length and width) of a rectangle within a given range. The range specified for the base of the rectangle is from 3 to 22.
To determine the number of possible arrangements, one approach is to consider the possible values for the base (length) of the rectangle and calculate the corresponding height (width). In this case, the possible values for the base are from 3 to 22, inclusive.
For each value of the base, the height can be calculated by subtracting the base from 24 (since the base ranges from 3 to 22, and 3 + 22 = 25, which is the total length of the rectangle).
So, for example:
- When the base is 3, the height is 24 - 3 = 21.
- When the base is 4, the height is 24 - 4 = 20.
This process continues until the base reaches 22, and the corresponding heights are calculated.
Now, let's consider the number of ways to arrange the dimensions of the rectangle. The given statement "it is 22-2 ways" suggests that there are 22 possible values for the base (ranging from 3 to 22), and for each base value, there is a corresponding height value calculated as described above.
Therefore, the total number of possible arrangements is 22, since each base value has only one corresponding height value.
In summary, the number of ways to arrange the dimensions of the rectangle within the given range of 3 to 22 is 22.