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Answer :

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.