AriaMartinez
24.06.2019 •
Mathematics
What is the area of this polygon? enter your answer in the box. units²
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Ответ:
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
Ответ: