Question

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

Answer 1

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}`