Answer:
The perimeter of the Rectangle JKLM is 32 unit.
Step-by-step explanation:
Consider the provided coordinates.
Rectangle JKLM: J(-3, 8), K(-3,-1), L(4, -1), M(4,8)
First plot the points as shown in figure:
The required figure is shown below:
Now find the distance between JK by using the distance formula.
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]d=\sqrt{\left(-3-\left(-3\right)\right)^2+\left(-1-8\right)^2}=9[/tex]
Therefore, the length of JK is 9 unit.
Now find the length of the side JM
[tex]d=\sqrt{\left(4-\left(-3\right)\right)^2+\left(8-8\right)^2}=7[/tex]
Therefore, the length of JM is 7 unit.
The perimeter of rectangle is: [tex]P=2(l+b)[/tex]
Therefore,
[tex]P=2(7+9)[/tex]
[tex]P=2(16)[/tex]
[tex]P=32[/tex]
Hence, the perimeter of the Rectangle JKLM is 32 unit.
