Answer:
141.12cm^2
Explanation:
First split the trapezoid into two shapes: a rectangle and a triangle.
The area of the rectangle is (10.2cm)(12.6cm) = 128.52cm^2
Finding the area of the triangle is a little trickier. In order to find the base of the triangle, subtract 12.2-10.2=2. The area of a triangle is defined as A=1/2bh, so let's plug in our values:
A = (1/2)(2)(12.6) = 12.6cm^2
Now, add them together.
12.6cm^2 + 128.52cm^2 = 141.12cm^2