Chapter 11.2, Problem 5CYU

To determine

To find: The value of $x$ .

Answer to Problem 5CYU

The value of $x=8\text{cm}$ .

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

The area of the shape is $A=78{\text{cm}}^2$ .

Calculation:

Consider the area of the trapezoid is of the form,

  $A=\frac{h\left(b_1+b_2\right)}{2}$

Then,

  $\begin{array}{l}78{\text{cm}}^2=\frac{x\left(13+6.4\right)}{2}\\ 9.7x=78\\ x=8\text{cm}\end{array}$