Question

What is the perimeter of this rectangle?

Answer 1

I think A. but I'm not a 100% sure

Answer 2

Answer:

The perimeter of the rectangle is given by

$P=2(x_2-x_1)+2(y_2-y_1)$

A is the correct option.

Step-by-step explanation:

Distance formula of two points is given by

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

Using the distance formula,

Length of the rectangle is given by

$l=\sqrt{(x_2-x_1)^2+(y_1-y_1)^2$

$l=\sqrt{(x_2-x_1)^2$

$l=(x_2-x_1)$

Width of the rectangle is given by

$w=\sqrt{(x_2-x_2)^2+(y_2-y_1)^2$

$w=\sqrt{(y_2-y_1)^2$

$w=(y_2-y_1)$

Hence, the perimeter of the rectangle is given by

$P=2l+2w\\\\P=2(x_2-x_1)+2(y_2-y_1)$

A is the correct option.