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, we can break it down into two separate rectangles: the larger rectangle and the smaller rectangle.

**1. Larger Rectangle:**
- Length (width) = 4 units
- Height = 5 units

Area of the larger rectangle = Length × Height = 4 × 5 = 20 square units

**2. Smaller Rectangle:**
- Length (width) = 2 units
- Height = (5 - 3) = 2 units (the total height of the larger rectangle minus the truncated height of the larger rectangle)

Area of the smaller rectangle = Length × Height = 2 × 2 = 4 square units

**3. Total Area of the Composite Figure:**
To find the total area, we add the areas of the larger and smaller rectangles:

Total Area = Area of Larger Rectangle + Area of Smaller Rectangle
Total Area = 20 + 4 = 24 square units

Thus, the area of the composite figure is **24 square units.**