Question

What is the perimeter of this rectangle? A. 2(x2 − x1) + 2(y2 − y1) B. (x2 − x1)(y2 − y1) C. D. E. 4(y2 − x1)(x2 − y1)

Answer 1

The perimeter of the rectangle will be given by the equation 2(x₂-x₁)+2(y₂-y₁).

What is the perimeter?

The perimeter is defined as the sum of all the sides of the figure. Here in the question, we have the rectangle with coordinates (x₁,y₁),(x₂,y₂),(x₂,y₁)(x₂,y₂).

So by using the distance formula we will find the length and width of the rectangle.

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

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

l=x₂-x₁

Width of the rectangle is given by

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

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

w=(y₂-y₁)

Hence, the perimeter of the rectangle is given by

P=2l+2w

P=2(x₂-x₁)+2(y₂-y₁)

To know more about perimeter follow

https://brainly.com/question/19819849

#SPJ1