Chapter 11.2, Problem 6CYU

To determine

To find: The value of $x$ .

Answer to Problem 6CYU

The value of $x=6.6\text{in}$ .

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

The area of the shape is $A=96{\text{in}}^2$ .

Calculation:

Consider the area of the kite is of the form,

  $A=\frac{d_1{d}_2}{2}$

Then,

  $\begin{array}{l}96{\text{in}}^2=\frac{\left(7.3\text{in+}7.3\text{in}\right)\left(x+x\right)}{2}\\ 96{\text{in}}^2=\frac{\left(14.6\text{in}\right)2x}{2}\\ x=6.6\text{in}\end{array}$