The approximate perimeter of the rectangle ABCD plotted below is 40.24 units.
The given coordinates are B(4,5), A(-6,0), C(8, -3) and D(-2, -8).
We need to find the perimeter of the rectangle ABCD by plotting the coordinates on the graph.
The formula to find the perimeter of the rectangle is 2(Length+Breadth).
By using the distance formula find the length and breadth of a rectangle.
That is Distance = [tex]\sqrt{(x_{2}-x_{1} )^{2} -(y_{2}-y_{1} )^{2}}[/tex] units.
Now, AB=[tex]\sqrt{(4+6)^{2}+(5-0)^{2} } =\sqrt{125}[/tex]=11.18 units
BC=[tex]\sqrt{(8-4)^{2}+(-3-5)^{2} } =\sqrt{80}[/tex]=8.94 units
Now, Perimeter=2(11.18+8.94)=40.24 units
Therefore, the approximate perimeter of the rectangle ABCD plotted below is 40.24 units.
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