Respuesta :

The area of a trapezoid is given as

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

From the given trapezoid

[tex]a=13ft,b=31ft,h=16ft[/tex]

Substitute the values of a, b, and h into the equation

This gives

[tex]A=\frac{1}{2}(13+31)\times16[/tex]

Calculate the value of A

[tex]\begin{gathered} A=\frac{1}{2}(44)\times16 \\ A=44\times8 \\ A=352 \end{gathered}[/tex]

Therefore the area of the trapezoid is

[tex]352ft^2[/tex]