Question 75
Let $P$ be an arbitrary point on the segment $AB$ of length $\sqrt{27}\ \mathrm{cm}$. A square $APDE$ is constructed on the segment $AP$ of length $x$, and an equilateral triangle $BCD$ is constructed on the segment $BD$. Draw a sketch.
a) Express the area of the pentagon $ABCDE$ in terms of $x$.
b) Determine $x$ so that the area of the pentagon $ABCDE$ is minimal.
a) Express the area of the pentagon $ABCDE$ in terms of $x$.
b) Determine $x$ so that the area of the pentagon $ABCDE$ is minimal.