Find the area of the trapezoid by composing into rectangles or decomposing into triangles or other shapes as needed. Show your work neatly and completely.

So I decided to make a visual aid for this problem.
All of the work is outlined in the image.
Your final answer is 109.
Hope that helps!
The area of the trapezium is 105 square centimeters
The area of a trapezoid is expressed as:
A = 0.5(a+b)h
where
a and d are the opposite sides
h is the height
Substitte the given parameters into the formula
A = 0.5(12 + 18)*7
A = 0.5(30) * 7
A = 15 * 7
A = 105 square centmeters
Hence the area of the trapezium is 105 square centimeters
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