Use the image to answer the 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) (The answer isn't 24, 26, or 20)

2 answers

To find the area of the composite figure made of the two rectangles, we will first calculate the area of each rectangle separately and then add them together.

  1. Larger Rectangle:

    • Length = 4 (right side)
    • Width = 5 (left side end to end)
    • Area = Length × Width = 4 × 5 = 20 square units.
  2. Smaller Rectangle:

    • Length = 2 (bottom length)
    • Width = 3 (truncated length)
    • Area = Length × Width = 2 × 3 = 6 square units.

Now we can add the areas of the two 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.

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