Design a flat PEC flat plate radar target so that the maximum normalized monostatic RCS $(/2)$ at an angle of $30$ from the normal of the plate is $+20$ dB$.$ Assuming physical optics $($PO$)$: $($a$)$ Determine the area $($in $2)$ of the plate. $($b$)$ At $10$ GHz$,$ what is the: $$ Area of the plate $($in $2)?$ RCS in dB$/$sm $($in decibels$/$square meter$)?$