Chapter 11.3, Problem 15WE

To determine

To Find: The area of trapezoid.

Answer to Problem 15WE

  $A=24sq.unit$

Explanation of Solution

Given:

  

  

Using trigonometry ratios in triangle $ADE$

  $\begin{array}{l}\sin 30=\frac{h}{8}\\ \frac{1}{2}=\frac{h}{8}\\ h=4\end{array}$

  $\begin{array}{l}{b}_1=2\\ b_2=10\\ h=4\end{array}$

Area of Trapezoid.

  $\begin{array}{l}A=\frac{1}{2}h(b_1+b_2)\\ A=\frac{4}{2}(2+10)\\ A=\frac{48}{2}\\ A=24sq.unit\end{array}$

Hence, area of the trapezoid is $A=24sq.unit$ .