Respuesta :

We are asked to determine the area of a trapezoid. To do that we will use the following formula:

[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]

Where:

[tex]\begin{gathered} b_1=\text{ longer base} \\ b_2=\text{ shorter base} \\ h=\text{ height} \end{gathered}[/tex]

In the given figure we have the following values:

[tex]\begin{gathered} b_1=6cm \\ b_2=2cm \\ h=3cm \end{gathered}[/tex]

We plug in the values in the formula:

[tex]A=\frac{1}{2}(6cm+2cm)(3cm)[/tex]

Solving the operations:

[tex]A=12cm^2[/tex]

Therefore, the area is 12 square centimeters.

RELAXING NOICE
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