Respuesta :

Answer:

352 ft²

Step-by-step explanation:

The formula for 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] are the bases of the trapezoid and [tex]h[/tex] is the height, thus:

[tex]A=(\frac{b_1+b_2}{2})h\\\\A=(\frac{13+31}{2})(16)\\\\A=(\frac{44}{2})(16)\\ \\A=(22)(16)\\\\A=352[/tex]

This means that the area of the trapezoid is 352 ft².