Answer:
20 units
Step-by-step explanation:
We are given that
On a coordinate plane , rhombus ABCD in which point A is at (1,1) and point B is at (-2,-3), point C is at (-5,1) and D is at (-2,5).
We have to find the perimeter of rhombus ABCD.
Distance formula : [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula
Side AB=[tex]\sqrt{(-2-1)^2+(-3-1)^2}=5 units[/tex]
We know that sides of rhombus are equal
Therefore, AB=BC=CD=AD=5 units
Perimeter of rhombus=[tex]4\times side[/tex]
Perimeter of rhombus=[tex]4\times 5=20 units[/tex]
Answer: 20 units
