Chapter 11.2, Problem 3BCYP

To determine

To find: The area of the given shape.

Answer to Problem 3BCYP

The area of the shape is $36{\text{in}}^2$ .

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

The given figure is in the shape of the kite and the area of the kite is in the form,

  $A=\frac{1}{2}{d}_1{d}_2$

Then,

  $\begin{array}{c}A=\frac{1}{2}\left(16\text{in}\right)\left(9\text{in}\right)\\ =\frac{\left(8\right)\left(9\right){\text{in}}^2}{2}\\ =36{\text{in}}^2\end{array}$