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.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: