Answer:
The answer is below
Step-by-step explanation:
Perimeter of a rectangle = 2(length + breadth)
24 = 2(length + breadth)
length + breadth = 12
The distance between the points of the rectangle (-1, 4) and (3,4) is given as:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2+y_1)^2}\\ \\Distance=\sqrt{(3-(-1))^2+(4-4)^2}=4\ units[/tex]
The breadth = 4 units
Length + 4 = 12
Length = 8 units
The lower left x coordinate would be the same as the upper left x coordinate, let us assume that the lower left y coordinate = a
Hence lower left coordinate = (-1, -a). The distance between (-1,4) and (-1, -a) is the length = 6 units
[tex]6=\sqrt{(-1-(-1))^2+(-a-4)^2}\\ \\a=-10[/tex]
lower left coordinate = (-1, 10)
The lower right x coordinate would be the same as the upper right x coordinate, let us assume that the lower right y coordinate = -b
Hence lower right coordinate = (3, -b). The distance between (3, 4) and (3, -b) is the length = 6 units
[tex]6=\sqrt{(3-3)^2+(-b-4)^2}\\ \\b=-10[/tex]
lower right coordinate = (3, -10)
