A trapezoid has a height of 16 miles. The lengths of the bases are 20 miles and 35miles. What is the area, in square miles, of the trapezoid?

Respuesta :

Given:

A trapezoid has a height of 16 miles.

The lengths of the bases are 20 miles and 35 miles.

To find:

The area of the trapezoid.

Explanation:

Using the area formula of the trapezoid,

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

On substitution we get,

[tex]\begin{gathered} A=\frac{1}{2}(20+35)\times16 \\ =\frac{1}{2}\times55\times16 \\ =440\text{ square miles} \end{gathered}[/tex]

Therefore the area of the trapezoid is 440 square miles.

Final answer:

The area of the trapezoid is 440 square miles.