Chapter 12.4, Problem 62SR

To determine

To find:

The area of the given figure.

Answer to Problem 62SR

The area of the figure is $1012{\text{ ft}}^2$ .

Explanation of Solution

Given information:

  

Calculation:

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

Area of rhombus is:

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

  $\begin{array}{c}{d}_1=22\cdot 2\\ =44\end{array}$

  $\begin{array}{c}{d}_2=23\cdot 2\\ =46\end{array}$

So, the area of rhombus is as follows:

  $\begin{array}{c}A=\frac{1}{2}\left(44\cdot 46\right)\\ =\frac{1}{2}\left(2024\right)\\ =1012{\text{ ft}}^2\end{array}$

Hence, the area of the figure is $1012{\text{ ft}}^2$ .