Here is a polygon. Decompose this polygon so that it’s area can be calculated. All measurements are in centimeters. Calculate its area. Organize your work so that it can be followed by others.

Here is a polygon Decompose this polygon so that its area can be calculated All measurements are in centimeters Calculate its area Organize your work so that it class=

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Answer:

88 cm^2

Step-by-step explanation:

Break up the figure as shown in the picture below.

There are two congruent trapezoids above and two congruent trapezoids below.

For each trapezoid, the are is

A = (1/2)(B + b)h

Top left and top right trapezoids:

Large base: 6; small base: 2; height: 2

A = (1/2)(6 + 2)(2) = 8

Bottom left and bottom right:

Large base: 9; small base: 3; height: 6

A = (1/2)(9 + 3)(6) = 36

total area = 8 + 8 + 36 + 36

total area = 88

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