Rectangle A, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-6, -4),  B(-4,-4), C(-4, -2), and D(-6, -2). What is the perimeter of rectangle A, B, C, D?

Perimeter of rectangle ABCD = 9.64 units

Step-by-step explanation:

The formula used to calculate perimeter of rectangle is:

We know that rectangle has opposite sides same i.e Length (AB and CD) are same and Width( AD and BD) are same

We need to find Length and Width to find the perimeter

So, if we find Length AB and Width AC we can find perimeter

Finding Length AB

The length AB can be found using distance formula:

We have A =(-6,-4) and B(-4,-4)

So, x_1=-6, y_1=-4, x_2=-4, y_2=-4

Putting values in formula and finding length

So, Length AB = 2

Now, Finding Width AC

The length AB can be found using distance formula:

We have A =(-6,-4) and C(-4,-2)

So, x_1=-6, y_1=-4, x_2=-4, y_2=-2

Putting values in formula and finding length

So, Width AD = 2.82

Now, We have Length = 2 and Width = 2.82

Finding perimeter of rectangle

So, Perimeter of rectangle ABCD = 9.64 units

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!