Use the image to answer the question.

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 point)
square units

Answer 1

To find the area of the composite figure formed by the two rectangles, we need to calculate the areas of both rectangles separately and then add them together.

1. Larger Rectangle:

   • Width (length) = 4 units
   • Height (length) = 5 units
   • Area = Width × Height = 4 × 5 = 20 square units

2. Smaller Rectangle:

   • Width (length) = 2 units
   • Height (length) = 3 units
   • Area = Width × Height = 2 × 3 = 6 square units

Now, to find the total area of the composite figure, we add the areas of both rectangles together:

Total Area = Area of Larger Rectangle + Area of Smaller Rectangle Total Area = 20 + 6 = 26 square units

Thus, the area of the composite figure is 26 square units.