Use the image to answer the question.

An illustration shows a rectangle that extends to a smaller rectangle at the bottom left. The length of the bottom rectangle is much lesser on the right. The dimensions are as follows: The larger rectangle shows the right side as 4, truncated bottom length as 3, and left side end to end as 5 including the extended rectangle. The smaller rectangle shows the bottom length as 2. There are 5 right angled symbols to show the perpendicular lines of the two rectangles.

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

1 answer

To find the area of the composite figure, we first need to find the area of each individual rectangle and then add them together.

The area of the larger rectangle is calculated by multiplying its length and width:
Area of larger rectangle = (5+3) * 4 = 8 * 4 = 32 square units

The area of the smaller rectangle is calculated by multiplying its length and width:
Area of smaller rectangle = 2 * 3 = 6 square units

To find the total area of the composite figure, we add the area of the larger rectangle and the area of the smaller rectangle:
Total area = Area of larger rectangle + Area of smaller rectangle
Total area = 32 square units + 6 square units
Total area = 38 square units

Therefore, the area of the composite figure is 38 square units.