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What is the area of the polygon in square units?



What is the area of the polygon in square units? ​-example-1

1 Answer

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Answer:

(d) 80 square units

Explanation:

As with many composite area problems, this can be worked any of several ways. The attached shows trapezoid ABCE, from which triangle CDE can be removed to get the desired area.

The relevant formulas are ...

A = (1/2)(b1 +b2)h . . . . . . area of a trapezoid

A= (1/2)bh . . . . . . . . . . . . area of a triangle

__

Here, the trapezoid has bases 12 and 2, and height 12, so its area is ...

A = (1/2)(12 +2)(12) = 84 . . . . square units

The triangle has a base of 4 and a height of 2, so its area is ...

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

Then the area of the desired figure is ...

84 - 4 = 80 . . . . square units

What is the area of the polygon in square units? ​-example-1
User Thomas Schultz
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