Respuesta :

Step-by-step explanation:

here you have the answers

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Answer:

[tex]A=12[/tex]

Step-by-step explanation:

The formula to find the area of a trapezoid is,

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

Where ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the two bases of the trapezoid, and ([tex]h[/tex]) represents the hieght of the figure. As one can see on the coordinate plane,

[tex]b_1=2\\\\b_2=4\\\\h=4[/tex]

Substitute in the given values, and solve,

[tex]A = (\frac{b_1+b_2}{2})(h)\\\\A = (\frac{2+4}{2})(4)\\\\A = (\frac{6}{2})(4)\\\\A = (3)(4)\\\\A = 12[/tex]

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