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What is the height of a trapezoid with an area of 60 square meters and a base of 8 and 12

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The area of a trapezoid is given by:


\begin{gathered} A=(a+b)/(2)\cdot h \\ \text{Where:} \\ a=\text{ Long base}=12 \\ b=\text{ Short base}=8 \\ h=\text{height} \\ A=\text{Area}=60 \end{gathered}

Replacing the data into the equation:


\begin{gathered} 60=(12+8)/(2)\cdot h \\ 60=(20)/(2)\cdot h \\ 60=10\cdot h \\ \text{Solving for h:} \\ h=(60)/(10) \\ h=6m \end{gathered}

User Lante Dellarovere
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