Chapter 12.4, Problem 60SR

To determine

To find:

The area of the given figure.

Answer to Problem 60SR

The area of the figure is ${\text{120 in}}^2$ .

Explanation of Solution

Given information:

  

Calculation:

From the given figure it is clear that the figure is kite.

Area of kite is:

  $A=\frac{1}{2}\left(d_1\cdot d_2\right)$

  $d_1=12$

  $\begin{array}{c}{d}_2=13+7\\ =20\end{array}$

So, the area of kite is as follows:

  $\begin{array}{c}A=\frac{1}{2}\left(12\cdot 20\right)\\ =\frac{1}{2}\left(240\right)\\ =120{\text{ in}}^2\end{array}$

Hence, the area of the figure is ${\text{120 in}}^2$ .