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What is the area of the irregular polygon shown below?

What is the area of the irregular polygon shown below?-example-1
User Cctan
by
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1 Answer

7 votes

Answer:

C. 86 sq. units

Explanation:

You want the area of a polygon consisting of a 4 by 18 rectangle with equilateral triangles attached to the short sides.

Triangle area

The area of each of the two triangles is ...

A = 1/2bh

A = 1/2(4)(3.5) = 7 . . . . square units

Rectangle area

The area of the rectangle is ...

A = LW

A = (18)(4) = 72 . . . . square units

Polygon area

The area of the polygon is the area of two triangles plus the area of the rectangle:

A = 2(7) +72 = 86 . . . . square units

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User MathieuMaree
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