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Rectangle has consecutive vertices
and . Find the perimeter and area of rectangle .

Ask by Burns Erickson. in the United States
Jan 29,2025

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Answer

The perimeter of rectangle is 22 units, and the area is 30 square units.

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Extra Insights

To find the perimeter and area of rectangle , we first need to calculate the lengths of the sides.
The coordinates of the vertices are:
Length of side AB (or CD):
The length of side can be calculated by finding the difference in the y-coordinates of points and :
Length of side AD (or BC):
The length of side can be calculated by finding the difference in the x-coordinates of points and :
Area of rectangle :
The area of a rectangle is given by the formula:
Perimeter of rectangle :
The perimeter of a rectangle is given by the formula:
Therefore, the perimeter of rectangle is units, and the area is square units.

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