Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5, 1), B(7,1) C(7, 6), and D(5, 6). What is the perimeter of rectangle ABCD?

Respuesta :

The perimeter is the sum of all four sides so it would be 2+2+5+5=14

The perimeter of the rectangle ABCD is 14 units after using the distance formula.

What is a rectangle?

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

The missing figure is in the picture, please attached to the picture.

We have:

Rectangle ABCD is graphed in the coordinate plane.

As we know,

The distance formula: it can be defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

After using the distance formula:

The perimeter of the rectangle = AB + BC + CD + DA

The perimeter of the rectangle = 2 + 5 + 2 + 5

The perimeter of the rectangle = 14 units

Thus, the perimeter of the rectangle ABCD is 14 units after using the distance formula.

Learn more about the rectangle here:

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