Question

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?

Answer 1

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.

Step-by-step explanation:

Using the area formula of the trapezoid,

`A=(1)/(2)(b_1+b_2)h`

On substitution we get,

`\begin{gathered} A=(1)/(2)(20+35)*16 \\ =(1)/(2)*55*16 \\ =440\text{ square miles} \end{gathered}`

Therefore the area of the trapezoid is 440 square miles.

Final answer:

The area of the trapezoid is 440 square miles.