The perimeter of the rectangle WXYZ that has vertices at W(−6, 1) , X(−1, 6) , Y(2, 3) , and Z(−3, −2) is 22.62 units.
What is rectangle?
It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.
We have a rectangle WXYZ has vertices at W(−6, 1) , X(−1, 6) , Y(2, 3) , and Z(−3, −2) .
Using the distance formula:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Calculate the distance WX between (-6,1) and (-1,6)
WX = 7.07
The distance XY between (-1,6) and (2,3)
XY = 4.24
The distance YZ between (2,3) and (-3,-2)
YZ = 7.0
The distance ZW between (-6,1) and (-3,-2)
ZW = 4.24
Perimeter of the rectangle = 7.07+ 4.24 + 7.07 + 4.24 = 22.62 units
Thus, the perimeter of the rectangle WXYZ that has vertices at W(−6, 1) , X(−1, 6) , Y(2, 3) , and Z(−3, −2) is 22.62 units.
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