The answer is: 60 units².
The explanation is shown below:
1. The area of the rectangle can be calculated with the following formula:
[tex]A=L*W[/tex]
Where L is the length and W is the width.
2. You can calculate the length and the width by using the formula for calculate the distance between two points:
[tex]d=\sqrt{(x_2-x_1))^{2}+(y_2-y_1))^{2}}[/tex]
3. The length is:
[tex]L=\sqrt{(8-(-1))^{2}+(-2-1)^{2}}=9.48units[/tex]
4. The width is:
[tex]W=\sqrt{(-3-(-1))^{2}+(-5-1)^{2}}=6.32units[/tex]
5. Therefore, the area is:
[tex]A=(9.48units)(6.32units)=59.9units^{2}=60units^{2}[/tex]
