Chapter 11.3, Problem 2WE

To determine

To Find: The area of the trapezoid and length of the median.

Answer to Problem 2WE

  $A=30.5sq.unit$

  $M=5unit$

Explanation of Solution

Given: $b_1=6.8,b_2=3.2,h=6.1$

Given: $b_1=6.8,b_2=3.2,h=6.1$

Area of Trapezoid.

  $\begin{array}{l}A=\frac{1}{2}h(b_1+b_2)\\ A=\frac{6.1}{2}(6.8+3.2)\\ A=\frac{61}{2}\\ A=30.5sq.unit\end{array}$

Now

Median of the trapezoid.

  $\begin{array}{l}M=\frac{1}{2}(b_1+b_2)\\ M=\frac{1}{2}(6.8+3.2)\\ M=\frac{10}{2}\\ M=5unit\end{array}$

Hence, area of the trapezoid is $A=30.5sq.unit$ and median is $M=5unit$.