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)
a
square units

Answer 1

To find the area of the composite figure, we need to calculate the area of both rectangles and then sum them together.

1. Area of the larger rectangle:

   • Length = 4 units
   • Height = 5 units
   • Area = Length × Height = 4 × 5 = 20 square units

2. Area of the smaller rectangle:

   • Length = 2 units
   • Height = 3 units (the height of the smaller rectangle is the difference from the larger rectangle)
   • Area = Length × Height = 2 × 3 = 6 square units

3. Area of the composite figure:

   • Total Area = Area of the larger rectangle + Area of the smaller rectangle
   • Total Area = 20 + 6 = 26 square units

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