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Find the area of the polygon. 17 ft 14 ft 4 ft- 3 ft 4 ft The area of the polygon is (Type a whole number.)

Find The Area Of The Polygon 17 Ft 14 Ft 4 Ft 3 Ft 4 Ft The Area Of The Polygon Is Type A Whole Number class=

Sagot :

Notice that the polygon can be divided on 3 rectangles, as shown in the following diagram:

The 14 ft side on the original image was split on a segment of 10ft and another of 4ft.

The areas of these rectangles, are:

[tex]\begin{gathered} A_1=(17ft)(10ft)=170ft^2 \\ A_2=(4ft)(3ft)=12ft^2 \\ A_3=(4ft)(4ft)=16ft^2 \end{gathered}[/tex]

The total area of the polygon is the sum of the areas of the three rectangles:

[tex]\begin{gathered} A=170ft^2+12ft^2+16ft^2 \\ =198ft^2 \end{gathered}[/tex]

Therefore, the area of the polygon is:

[tex]198ft^2[/tex]

View image JhiaQ328115
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