Chapter 11.2, Problem 7CYU

To determine

To find: The value of $x$ .

Answer to Problem 7CYU

The value of $x=6.3\text{ft}$ .

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

The area of the shape is $A=104{\text{ft}}^2$ .

Calculation:

Consider the area of the kite is of the form,

  $A=\frac{d_1{d}_2}{2}$

Then,

  $\begin{array}{l}104{\text{ft}}^2=\frac{\left(16.4\text{ft}\right)\left(x+x\right)}{2}\\ \frac{104{\text{ft}}^2}{16.4\text{ft}}=x\\ x=6.3\text{ft}\end{array}$