Chapter 11.3, Problem 26WE

To determine

To determine the area of trapezoid.

Answer to Problem 26WE

Area of trapezoid is 196.

Explanation of Solution

Given information :

Bases of trapezoid are 12 and 16.

Radius is 10.

According to question,

  

Using Pythagoras theorem, we can say,

  $\begin{array}{l}{a}^2+8^2=r^2\\ a^2+64=100\\ a^2=36\\ a=6\end{array}$

Also we know,

  $\begin{array}{l}{b}^2+6^2=r^2\\ b^2+36=100\\ b^2=64\\ b=8\end{array}$

Now we know that the height of the trapezoid is $a+b=6+8=14$

Area is $\frac{12+16}{2}\times 14=196$ .