A trapezoidal notch is to be designed to pass a discharge of $1\mathrm{.}0$ m$^3/$s at a head of $0\mathrm{.}8$ m

over the crest and $0\mathrm{.}50$ m$^3/$s at a head of $0\mathrm{.}51$ m$.$ Assuming Cd $=0\mathrm{.}7,$

f$.$ calculate the base width and side slope of the notch.