Finding Area and Perimeter from Four Points

The video tutorial explains how to find the area and perimeter of a rectangle given four points. It begins by plotting the points on a Cartesian coordinate system to determine the shape. The tutorial then demonstrates how to calculate the area by identifying the base and height, and the perimeter by summing the side lengths. It also covers using the distance formula and Pythagorean theorem to verify the properties of a rectangle and calculate dimensions accurately.

What is the first step in determining if the given points form a rectangle?

• Use the distance formula immediately.

• Calculate the area directly.

• Assume it's a rectangle and proceed.

• Plot the points on a Cartesian coordinate system.

How do you find the area of a rectangle?

• Length + Width

• Side x Side

• Perimeter / 4

• Base x Height

What is the area of the first rectangle discussed?

• 12 units squared

• 10 units squared

• 6 units squared

• 8 units squared

What is the formula to calculate the perimeter of a rectangle?

• Length + Width x 2

• 2(Length) + 2(Width)

• Length x Width

• 2(Length + Width)

What is the perimeter of the first rectangle?

• 10 units

• 12 units

• 16 units

• 14 units

When given a new set of points, what should you do first?

• Use the Pythagorean theorem.

• Plot the points.

• Assume it's a rectangle.

• Calculate the area.

How do you confirm the shape is a rectangle with the second set of points?

• By assuming based on appearance.

• Directly measuring with a ruler.

• Using the distance formula.

• Calculating the area first.

What is the purpose of using the Pythagorean theorem in this context?

• To assume the shape is a rectangle.

• To verify the sides form right angles.

• To find the distance between points.

• To calculate the area directly.

What is the area of the second rectangle?

• 23.94 units squared

• 25 units squared

• 30 units squared

• 20 units squared

What is the perimeter of the second rectangle?

• 19.8 units

• 22 units

• 18 units

• 24 units