Let one side of the rectangle be GE=FH=X and the area of the rectangle be
Let one side of the rectangle be GE=FH=X and the area of the rectangle be y.
∫△ CEG △△ HFB △ cab
Is that?
CE = 3/4 times
At the same time, namely?
FB=4/3x
EF = BC-CE-FB = 50-3/4x-4/3x = 50-25/12 * x (due to Pythagorean theorem BC=50).
y=GE*EF=x(50-25/ 12*x)
=?
=
=?
When x=0, the maximum value of y =300.