Question

What is the area of the trapezoid?

A trapezoid has a base of 19 meters, a height of 16 meters, and a top side length of 13 meters.
232 m2
256 m2
328 m2
352 m2

Answer 1

To calculate the area of a trapezoid, you can use the formula:

\[
\text{Area} = \frac{(b_1 + b_2)}{2} \times h
\]

where \( b_1 \) and \( b_2 \) are the lengths of the two bases, and \( h \) is the height.

In this case:

- \( b_1 = 19 \) meters (the base)
- \( b_2 = 13 \) meters (the top side)
- \( h = 16 \) meters (the height)

Plugging in the values:

\[
\text{Area} = \frac{(19 + 13)}{2} \times 16
\]
\[
= \frac{32}{2} \times 16
\]
\[
= 16 \times 16
\]
\[
= 256 \text{ m}^2
\]

Thus, the area of the trapezoid is \( 256 \) m².