A $2-m-$long and $3-$m$-$wide horizontal rectangular plate is submerged in water. The distance of the top surface from the free surface is $5$ m $.$ The atmospheric pressure is $95$ kPa $.$ Considering atmospheric pressure, the hydrostatic force acting on the top surface of this plate is

a$)307$ kN

b$)688$ kN

c$)747$ kN

d$)864$ kN

e$)2950$ kN

$P_{\text{a}\text{v}\text{g}}=P_{\text{a}\text{t}\text{m}}+g{h}_c$

$=95$lepa$+(1000\frac{kg}{m^3})(9\mathrm{.}81\frac{m}{s})(5+1\mathrm{.}5)m{s}^{5m}$