Answer:
Area = 20 units²
Step-by-step explanation:
Let A(-8,-2), B(-3,-2), C(-3,-6) and D(-8,-6) so that the rectangle becomes ABCD.
=> Since it's a rectangle it will have two opposite sides equal.
So, let's find the length of any two sides (as length and width) by Distance Formula.
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Side AB:
|AB| = [tex]\sqrt{(-3+8)^2+(-2+2)^2}[/tex]
|AB| = [tex]\sqrt{5^2}[/tex]
|AB| = 5
Side BC:
|BC| = [tex]\sqrt{(-3+3)^2+(-6+2)^2}[/tex]
|BC| = [tex]\sqrt{16}[/tex]
|BC| = 4
Now, Area:
Area of the rectangle = Length * Width
Area = 4 * 5
Area = 20 units²
