[tex] \mathbb{ \underline{PROBLEM:}}[/tex]
3. The area of this trapezoid is [tex] \large \tt25.5 ft {}^{2} [/tex].
What is the height of the trapezoid? Show your work.
[tex] \mathbb{ \underline{SOLUTION:}}[/tex]
Area of a trapezoid = [tex] \tt \frac{1}{2} (a + b)h[/tex]
where a and b are the bases and h is the heigth
Given;
- Area = [tex] \tt25.5 \: ft {}^{2} [/tex]
- Base a = [tex] \tt3.2 \: ft[/tex]
- Base b = [tex] \tt7 \: ft[/tex]
[tex]\begin{gathered}\begin{gathered}\begin{array}{|c|}\hline \tt 25 .5 = \frac{1}{2} (3.2 + 7)h \\ \\ \tt25.5 = 5.1 \: h \\ \\ \tt h = \red{5} \\ \hline \end{array}\end{gathered}\end{gathered}[/tex]
[tex] \mathbb{ \underline{ANSWER:}}[/tex]
Thus, the height of the trapezoid is 5 .
[tex] \\ [/tex]
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