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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)

What is the perimeter of this rectangle A 2x2 x1 2y2 y1 B x2 x1y2 y1 Csqrt 2y2y1x2x1 D4sqrt y2y12x2x12 E4y2 x1x2 y1 class=

Respuesta :

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

Answer:

The perimeter of the rectangle is given by

[tex]P=2(x_2-x_1)+2(y_2-y_1)[/tex]

A is the correct option.

Step-by-step explanation:

Distance formula of two points is given by

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

Using the distance formula,

Length of the rectangle is given by

[tex]l=\sqrt{(x_2-x_1)^2+(y_1-y_1)^2[/tex]

[tex]l=\sqrt{(x_2-x_1)^2[/tex]

[tex]l=(x_2-x_1)[/tex]

Width of the rectangle is given by

[tex]w=\sqrt{(x_2-x_2)^2+(y_2-y_1)^2[/tex]

[tex]w=\sqrt{(y_2-y_1)^2[/tex]

[tex]w=(y_2-y_1)[/tex]

Hence, the perimeter of the rectangle is given by

[tex]P=2l+2w\\\\P=2(x_2-x_1)+2(y_2-y_1)[/tex]

A is the correct option.

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