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

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,

Area of triangle =

Now, in Rectangle WFSC by the distance formula

WF=CS=2 units, FS=WC=9 units

Area of rectangle=

Now, Area of polygon WFNSC= area of triangle +area of rectangle

=27+18=46 square units

18

step-by-step explanation:

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