Question 198935
You can start with the formula for the area of a trapezoid:
{{{highlight_green(A[t] = (b[1]+b[2])/2*h)}}} where {{{b[1]}}} is the length of one base and {{{b[2]}}} is the length of the other base and h = height.
Solve this equation for h:
{{{h = 2A[t]/((b[1]+b[2]))}}} Now substitute: {{{A[t] = 32}}}, {{{b[1] = 6}}}, and {{{b[2] = 10}}}.
{{{h = 2(32)/((6+10))}}} Evaluate the right side.
{{{h = 64/16}}}
{{{highlight(h = 4)}}}ft.