Question
Rectangle
has consecutive vertices
and
. Find the perimeter and area of rectangle
.
and
Ask by Burns Erickson. in the United States
Jan 29,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The perimeter of rectangle
is 22 units, and the area is 30 square units.
Solution

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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
:
The length of side
Length of side AD (or BC):
The length of side can be calculated by finding the difference in the x-coordinates of points
and
:
The length of side
Area of rectangle
:
The area of a rectangle is given by the formula:
The area
Perimeter of rectangle
:
The perimeter of a rectangle is given by the formula:
The perimeter
Therefore, the perimeter of rectangle
is
units, and the area is
square units.