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)

Answer 1

To find the area of the composite figure made of two rectangles, we can follow these steps:

1. Dimensions of the larger rectangle:

   • Length (height) = 5 units (this is the left side)
   • Width = 4 units (this is the right side)

   Area of larger rectangle = Length × Width = 5 × 4 = 20 square units.

2. Dimensions of the smaller rectangle:

   • Length (height) = 3 units (this is truncated)
   • Width = 2 units (bottom length)

   Area of the smaller rectangle = Length × Width = 3 × 2 = 6 square units.

3. Total area of the composite figure: The total area is the sum of the areas of the two rectangles.

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

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