Respuesta :
Answer:
20 unit square is the area of a rectangle with given vertices.
Step-by-step explanation:
Area of the rectangle with vertices : Say ABCD:
[tex]A(-8,-2), B(-3,-2), C (-3,-6), D(-8,-6)[/tex]
Distance formula : [tex](x_1,y_1) (x_2,y_2)[/tex]
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Length of the rectangle= AB
[tex]AB=\sqrt{(-3-(-8))^2+(-2-(-2))^2}=5 units[/tex]
Breadth of the rectangle= BC
[tex]BC=\sqrt{(-3-(-3))^2+(-6-(-2))^2}=4 units[/tex]
Area of rectangle = Length × Breadth = AB × BC
[tex]A= 5 units \times 4 units = 20 unit^2[/tex]
20 unit square is the area of a rectangle with given vertices.
