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.

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ANSWER:

19 m

STEP-BY-STEP EXPLANATION:

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

[tex]A=\frac{B+b}{2}\cdot h[/tex]

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

[tex]\begin{gathered} 352=\frac{25+b}{2}\cdot16 \\ \\ 25+b=352\cdot\frac{2}{16}\frac{}{} \\ \\ b=44-25 \\ \\ b=19 \end{gathered}[/tex]

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