The area of a rectangle is 36 square units having vertices (–4, 9),
(–4, –3), (–1, –3), and (–1, 9).
What is the area of the rectangle?
It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We know the distance between two points is given by:
[tex]\rm d= \sqrt{(x_2-x_1)^2-(y_2-y_1)^2}[/tex]
As we can see in the figure the length:
[tex]\rm l= \sqrt{(-1-(-4))^2-(-3-(-3))^2}[/tex]
l = 3 units
and width:
[tex]\rm w= \sqrt{(-1-(-1))^2-(-3-9)^2}[/tex]
w = 12 units
The area of the rectangle = 3×12
= 36 square units
Thus, the area of a rectangle is 36 square units having vertices (–4, 9),
(–4, –3), (–1, –3), and (–1, 9).
Learn more about the area here:
brainly.com/question/14383947
