Question

A trapezoid has bases 4 and 12 and area of 40m^2 find the height

Answer 1

Step 1

State the formula for the area of a trapezoid

`\begin{gathered} The\text{ area of a trapezoid=(}(a+b)/(2))* height(h) \\ \text{Where a= base 1=4}m \\ b=\text{base 2=12m} \\ \text{The area of the trapezoid=40m}^2 \end{gathered}`

Step 2

Find the height

`\begin{gathered} 40=((4+12)/(2))* h \\ 40=(16)/(2)* h \\ 80=16h \\ h=(80)/(16) \\ h=5m \end{gathered}`

Hence, the height = 5m