Calculating Areas of Composite Figures

In this video, Mr. J explains how to find the area of composite figures by dividing them into simpler shapes. He demonstrates this with two examples: the first involves dividing a figure into two rectangles, and the second involves dividing a figure into two rectangles and a square. Mr. J emphasizes the importance of using the correct measurements for length and width and shows how to calculate the area of each shape before summing them to find the total area of the composite figure.

What is the first step in finding the area of a composite figure?

• Find the volume

• Measure the angles

• Divide it into simpler shapes

• Calculate the perimeter

How do you calculate the area of a rectangle?

• Length plus width

• Length times width

• Length divided by width

• Length minus width

In the first composite figure, what are the dimensions used for rectangle A?

• 2 by 7

• 10 by 7

• 6 by 3

• 8 by 3

What is the total area of the first composite figure?

• 24 square inches

• 41 square inches

• 38 square inches

• 14 square inches

What is an alternative way to divide the first composite figure?

• Into two squares

• Into a triangle and a rectangle

• Into a top and a bottom rectangle

• Into three circles

How many simpler shapes is the second composite figure divided into?

• One rectangle and two squares

• Two rectangles and a square

• Three rectangles

• Two rectangles

What is the area of the square in the second composite figure?

• 10 square centimeters

• 6 square centimeters

• 25 square centimeters

• 41 square centimeters

What is the total area of the second composite figure?

• 31 square centimeters

• 16 square centimeters

• 25 square centimeters

• 41 square centimeters

Why is it important to choose the correct dimensions when calculating the area?

• To make the figure look symmetrical

• To simplify the shape

• To ensure the perimeter is correct

• To avoid errors in the area calculation

What is a key takeaway from the video regarding composite figures?

• Multiple methods can be used to solve for area

• Always use the largest dimensions

• Composite figures are always rectangles

• There is only one correct way to divide a figure