Question

What is the area of this polygon?

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units²

Answer 1

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,

$NO=6\ units\\FS=9\ units$

Area of triangle =$\frac{1}{2}\times base\times height=\frac{1}{2}\times6\times9=27\ units^2$

Now, in Rectangle WFSC by the distance formula

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

Area of rectangle=$2\times9=18\ units^2$

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

=27+18=46 square units

Answer 2

Answer:

Hello!!!!!!

The correct answer is 45

Step-by-step explanation:

divide the polygon into two separate parts. This first part is the triangle. Height x width divided by 2. This will get you 27. then add all the remaining units counted in the second parts which is a rectangle and you will get 27 + 18, which is 45

By the way i took the same test, I got it right!!!!!!!

Hope this helps!!!!!!!!!