Question

Rectangle JKLM:J(-3, 8), K(-3,-1), L(4, -1),

Answer 1

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.

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$d=\sqrt{\left(-3-\left(-3\right)\right)^2+\left(-1-8\right)^2}=9$

Therefore, the length of JK is 9 unit.

Now find the length of the side JM

$d=\sqrt{\left(4-\left(-3\right)\right)^2+\left(8-8\right)^2}=7$

Therefore, the length of JM is 7 unit.

The perimeter of rectangle is: $P=2(l+b)$

Therefore,

$P=2(7+9)$

$P=2(16)$

$P=32$

Hence, the perimeter of the Rectangle JKLM is 32 unit.