Respuesta :

Explanation

The formula for the area of a trapezoid is given as;

[tex]\text{Area}=\frac{1}{2}(side\text{ a+ side b)}\times\text{ height}[/tex]

From the image;

[tex]\begin{gathered} \text{Side a=BC=9in} \\ \text{Side b=AC=13in} \\ \text{Height = CF = 10in} \end{gathered}[/tex]

Therefore, we can substitute the above into the formula for the area of a trapezoid

[tex]\begin{gathered} \text{Area}=\frac{1}{2}(9+13)\times10 \\ =\frac{1}{2}\times22\times10 \\ =11\times10 \\ =110\text{square inches} \end{gathered}[/tex]

Answer: 110 square inches

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