Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(−2,1), B(3, 1), C(3,4), and D(−2,4).

What is the perimeter of rectangle ABCD?

units

The perimeter of rectangle ABCD = 16 units

Step-by-step explanation:

The vertices of the rectangle: A(−2,1), B(3, 1), C(3,4), and D(−2,4).

AB is horizontal, so measre the difference between the x coordinates of A and B.

between -2 and 3 are 5 units.

BC is vertical, so measre the difference between the y coordinates of B and C.

between 4 and 1 is 3 units.

The perimeter = 2 * ( AB + BC )

Substitute AB = 5 and CD = 3

2 * ( 5 + 3 )

2 * 8

The perimeter of rectangle ABCD = 16 units

16 units

Step-by-step explanation:

finding the lengths of all sides which are 5,5,3, and 3 then adding them will get you 16 units.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions