What is the area of this polygon?

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1 Answer
Jim G.
Feb 22, 2018

#"area "=45" units"^2#

Explanation:

#"the polygon is constructed from a rectangle and a triangle"#

#"that is rectangle WCSF and triangle FSN"#

#"the rectangle has a length "=9" units"#
#"and a width "=2" units"#

#"the triangle has a base "=9" units and a"#

#"height measured from vertex N to the base "=6" units"#

#"area of rectangle "="length "xx"width"#

#color(white)("area of rectangle ")=9xx2=18" units"^2#

#"area of triangle "=1/2xx"base "xx"height"#

#color(white)("area of triangle ")=1/2xx9xx6=27" units"^2#

#"area of polygon "="area of rectangle "+" area of triangle"#

#rArr"area "=18+27=45" units"^2#

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