Question

What is the perimeter of this rectangle?

A.) 2(x2 − x1) + 2(y2 − y1)
B.) (x2 − x1)(y2 − y1)
C.)sqrt 2(y2-y1)(x2-x1)
D.)4sqrt (y2-y1)^2(x2-x1)^2
E.)4(y2 − x1)(x2 − y1)

Answer 1

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

Answer 2

The perimeter of the rectangle is given by

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

A is the correct option.

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.