Question

I write the answer I just need you to work it out for me please and thank you.

Answer 1

The area of a trapezoid is given by the formula:

`\begin{gathered} A=(1)/(2)(a+b)h \\ a\colon long\text{ base} \\ b\colon\text{short base} \\ h\colon\text{ height} \end{gathered}`
`A=400mm^2;\text{ a=}36mm,\text{ b=14}mm`

Thus, we have:

`\begin{gathered} 400=(1)/(2)(36+14)h \\ 400=(1)/(2)(50)h \\ 400=25h \\ (400)/(25)=h \\ h=16mm \end{gathered}`

Hence, the height of the trapezoid is 16mm