Chapter 7, Problem 6AE

To determine

To calculate: the value of $x$ with the help of given information.

Answer to Problem 6AE

The value of $x$ is: $11$ .

Explanation of Solution

Given information:

Ttrapezoid has bases of length $x$ and $x+8$ a median of length $15.$

Calculation:

Trapezoid: the length of the median is the average of the two bases length.

If $a$ and $b$ are the lengths of the two bases and $m$ is the median length then,

  $\frac{a+b}{2}=m\dots \dots (1)$

Let consider a trapezoid has bases of length $x$ and $x+8$ a median of length $15.$

Then, use the equation (1),

  $\begin{array}{c}\frac{x+x+8}{2}=15\\ x+x+8=30\\ 2x+8=30\\ 2x=22\\ x=\frac{22}{2}\\ -11\\ =11\end{array}$

Hence, the value of $x$ is: $11$ .