FigureA.3.1.Four configurations made of rectangles.
Puzzle: Put your solutions to the following questions in the appropriate entry in the table below. Some of the entries are already shown.
For each of the configurations (a), (b), (c), and (d), find the point on the horizontal axis where a single vertical line cuts the area of the configuration in half, by percent. That is, find the vertical line that puts \(50\%\) of the area on the left of the line, and puts \(50\%\) of the area on the right. For example, a vertical line at the point \(5.0\) cuts configuration (a) into two halves that both have \(50\%\) of the total area. Notice that dividing the area in half is not the same as cutting in the middle from left to right: in configuration (b), the \(50\)–\(50\) area cut is at the point \(1.0\text{,}\) which is not half-way between the left and right ends of the configuration. Put answers to this question in the middle row of the table below.
Do the same as in question 1, but find the location of the line that puts \(25\%\) of the area on the left, and \(75\%\) on the right. For configuration (a), this location is \(4.0\text{.}\) These answers go in the second row of the table.
Do the same as above, but for a left-right area percentage split of \(20\)–\(80\text{.}\) Put answers in the first row of the table.
Again, but for \(75\)–\(25\text{.}\) Fourth row.
And one more time, for \(80\)–\(20\text{,}\) fifth row.
