Answer:
Perimeter is 12 sqrt(2)
Step-by-step explanation:
To obtain the perimeter of the shown rectangle we need to obtain the dimensions of its sides.
Since all we have are coordinates, we need to apply the equation for distance between points.
That is
[tex]d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2 }[/tex]
To obtain BF we need to use the following points from the graph:
(x2,y2)=(0,3)
(x1,y1)=(-2,1)
BF=SQRT(4+4)=SQRT(8)=2 sqrt(2)
To obtain BF we need to use the following points from the graph:
(x2,y2)=(4,-1)
(x1,y1)=(0,3)
BC=SQRT(16+16)=SQRT(32)=4 SQRT(2)
The perimeter can be obtained 2*(2*sqrt(2)) +2* (4*sqrt(2))= 4 sqrt(2)+8 sqrt(2)=12 sqrt(2).
We only need two sides since the others are opposite and have the same length
