What is the area of this polygon?Enter your answer in the box.units²

Answer: 46 square units
Step-by-step explanation:First divide the given polygon by joining FS in triangle FNS and rectangle WFSC.In triangle FNS, construct a line from N (2,4) to its base at (2,-2) and name it point O.Since it is perpendicular to the base of the triangle therefore, it is the height of the triangle.Now, by distance formula, [tex]NO=6\ units\\FS=9\ units[/tex]Area of triangle =[tex]\frac{1}{2}\times base\times height=\frac{1}{2}\times6\times9=27\ units^2[/tex]Now, in Rectangle WFSC by the distance formulaWF=CS=2 units, FS=WC=9 unitsArea of rectangle=[tex]2\times9=18\ units^2[/tex]Now, Area of polygon WFNSC= area of triangle +area of rectangle=27+18=46 square units