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?

Answer 1

To find the area of the composite figure made up of the larger rectangle and the smaller rectangle, we can first calculate the areas of both rectangles separately and then combine them.

1. Larger Rectangle:

   • Length = 4 units (right side)
   • Height = 5 units (left side)
   • Area of larger rectangle = Length × Height = 4 × 5 = 20 square units

2. Smaller Rectangle:

   • Length = 2 units (bottom)
   • Height = 3 units (the height we consider from the bottom of the smaller rectangle to the bottom of the larger rectangle)
   • Area of smaller rectangle = Length × Height = 2 × 3 = 6 square units

3. Total Area of Composite Figure:

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

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