Find the perimeter and the area of the polygon with the given vertices. J (1,2), K (7,2), L (7,8), M (1,8) The perimeter is units. The area is square units.

Perimeter = 24 units

Area = 36 units^2

Step-by-step explanation:

Given

Required

Calculate the perimeter and the area

Calculating Perimeter:

First, we calculate the distance between each point.

For J and K

They have the same y value (i.e. 2); So, the distance is the difference between their x values:

For K and L

They have the same x value (i.e. 7); So, the distance is the difference between their y values:

For L and M

They have the same y value (i.e. 8); So, the distance is the difference between their x values:

For M and J

They have the same x value (i.e. 1); So, the distance is the difference between their y values:

So, the perimeter (P) is:

Calculating the Area

The area is calculated using:

Where:

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So, we have: