Question

Given that the height of a trapezoid is 16 m and one base’s length is 25 m. Calculate the dimension of the other base of the trapezoid if its area is 352 m².

Answer 1

19 m

Explanation:

We have that the formula for the area of a trapezoid is the following:

`A=(B+b)/(2)\cdot h`

We substitute each value and calculate the length of the other base, like so:

`\begin{gathered} 352=(25+b)/(2)\cdot16 \\ \\ 25+b=352\cdot(2)/(16)\frac{}{} \\ \\ b=44-25 \\ \\ b=19 \end{gathered}`

The dimension of the other base of the trapezoid is 19 m