SITUATION $(91-92)$: Given the composite figure below. Find the following:

$91.$ Find the centroid in the $x-$ Axis.

a$.8\mathrm{.}91cm$

c$.8\mathrm{.}19cm$

b$.9\mathrm{.}32cm$

d$.9\mathrm{.}23cm$

$92.$ Find the centroid in the Y$-$Axis.

a$.8\mathrm{.}91cm$

b$.9\mathrm{.}32cm$

c$.8\mathrm{.}19cm$

d$.9\mathrm{.}23cm$

$93.$ A simply supported beam $10$ meters long and is loaded by a uniformly distributed load of $12k\frac{N}{m}$ from the left end until the midspan. Another concentrated load with intensity $15kN$ is loaded at the far right of the beam on top of the support. If the Allowable bending and shearing stress in the beam is $20$MPa, and $0\mathrm{.}924$MPa, respectively. What is the minimum safest dimension of the beam?

a$.185370mm$

b$.195390mm$

c$.200400mm$

d$.190380mm$