Question 1142177
here's my diagram.


<img src = "http://theo.x10hosting.com/2019/061302.jpg" alt="$$$" >


area of a parallelogram is equal to base * height.


in the normal figure, base is equal to DC which is equal to 6.3 and height is equal to AN which is equal to 4.2


the area of the parallelogram is therefore 6.3 * 4.2 = 26.46.


when you rotate the figure 90 degrees in a clockwise direction, the base becomes equal to CB which is equal to 4.9 and the height becomes equal to AM which is what you want to find.


the area of the parallelogram remains the same.


therefore area = base * height which becomes 26.46 = 4.9 * height.


solve for height to get height = 26.49 / 4.9 = 5.4.


that's the length of AM which is the solution to this problem that you are looking for.


the length of AM is equal to 5.4