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The formula for the are of a trapezoid is as follows:
[tex]A=\frac{(b_1+b_2)h}{2}[/tex]where the b₁ and b₂ are the lengths of the bases and the h is the height of the trapezoid.
Substitute the given values into the equation.
[tex]A=\frac{(5+12)(4)}{2}[/tex]Simplify the expression inside the parentheses. Add.
[tex]A=\frac{17(4)}{2}[/tex]Divide 4 by 2.
[tex]A=17(2)[/tex]Multiply 17 by 2.
[tex]A=34[/tex]Therefore, the area is 34 cm squared.