What is the area of this polygon?

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units²

Area of figure = (2 x 9) + [1/2(9)(6)]
= 18 + 27
= 45

answer
45 units²

Draw a segment from F to S.
Now you have broken up the polygon into rectangle FSCW with length 9 units and width 2 units, and triangle FSN with base 9 units and height 6 units. The area of the polygon is the sum of the areas of the rectangle and the triangle.

A = LW + (bh)/2

A = (9 u)(2 u) + (9 u)(6 u)/2

A = 18 u^2 + 27 u^2

A = 45 u^2