Chapter 13, Problem 24RP

To determine

To find: The area of the trapezoid.

Answer to Problem 24RP

Thearea of the trapezoid is $48$ .

Explanation of Solution

Given:

The given points of the trapezoid is $\left(5,2\right),\left(5,12\right),\left(-1,10\right)$ .

Calculation:

Consider the given points are $\left(5,2\right),\left(5,12\right),\left(-1,10\right)$ .

The other vertices of the trapezoid is $\left(-1,0\right)$ as the isosceles trapezoid has the line of symmetry thought the mid-point.

Then, the area of the trapezoid is,

  $\begin{array}{c}A=\frac{b_1+b_2}{2}h\\ =\frac{10+6}{2}\left(6\right)\\ =48\end{array}$

Thus, the area is $48$ .