Question

The coordinates of the points below represent the vertices of a rectangle p: (2, 2) Q: (6, 2) R: (6, 5) S: (2.5) What is the perimeter, in units, of rectangle PQRS?

Answer 1

Answer: 14

Step-by-step explanation:

to get the perimeter you add up all the sides

Answer 2

The perimeter of a rectangle is the sum of all of its side. The perimeter of the rectangle PQRS is 14 units.

What is the perimeter of the rectangle?

The perimeter of the rectangle is twice the sum of its length and its width.

$\rm \text{Perimeter of rectangle}=2[(Length)+(Width)]$

To know the perimeter of the rectangle we need to know the length and the width of the rectangle. Therefore, the length of the rectangle or the length of PQ is,

$d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d = \sqrt{(2-6)^2+(2-2)^2}\\\\d = \sqrt{(-4)^2+0^2}\\\\d = 4$

The width of the rectangle or the length of the SP is,

$d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d = \sqrt{(2-2)^2+(5-2)^2}\\\\d = \sqrt{(0)^2+(3)^2}\\\\d = 3$

Now, the perimeter of a rectangle is written as,

$\rm \text{Perimeter of rectangle}=2[(Length)+(Width)]$

                                    $\rm = 2[4+3]\\\\=2\times [7]\\\\= 14\ units$

Hence, the perimeter of the rectangle PQRS is 14 units.

Learn more about Perimeter of rectangle:

https://brainly.com/question/2142493