Answer:
Kindly refer to the attached images for the answer.
Step-by-step explanation:
Upper left coordinates of a rectangle are (-1, 4).
Upper right coordinates of the rectangle are (3, 4).
Perimeter of the rectangle = 24 units
Let A(-1, 4) and B(3, 4).
First of all, let us find the distance between the coordinates A and B.
Distance formula can be used to find the distance.
Distance formula:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here, we have the following values:
[tex]x_1 = -1 \\y_1 = 4\\x_2 = 3\\y_2 = 4[/tex]
[tex]AB = \sqrt{(3-(-1))^2+(4-4)^2} = 4\ units[/tex]
[tex]Perimeter = 2 (Length + Width)\\\Rightarrow 24 = 2 \times (AB + BC)\\\Rightarrow 24 = 2 \times (4 + BC)\\\Rightarrow BC = 8[/tex]
When we will move from point B to C, we will move downwards on y axis for a distance of 8 units therefore value of [tex]x[/tex] coordinate will be same.
Therefore coordinates of C (3, 4-8) i.e. C (3, -4)
When we will move from C to D, the x coordinate will decrease for 4 units.
D (3-4, -4) i.e. D (-1, -4)
Kindly refer to the attached images for the answer.
