Area of the trapezoid can be calculated as:
Area = 0.5 x Height x Sum of Length of Bases
We have the measure of area and length of bases. Using the above formula we can find the height h of the trapezoid.
So, using the values we get:
[tex]46.5 = 0.5(h)(10.2+5.3) \\ \\
\frac{46.5}{0.5}=h(15.5) \\ \\
h= \frac{93}{15.5} \\ \\
h=6 [/tex]
Thus, the height of the trapezoid will be 6 in.
