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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 isnt 26

1 answer

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

  1. Larger Rectangle:

    • Length: 4 units (Right side)
    • Width: 5 units (Left side)
    • Area of the larger rectangle = Length × Width = 4 × 5 = 20 square units

  2. Smaller Rectangle:

    • Length: 2 units (Bottom side)
    • Width: The height can be inferred as the portion remaining from the larger rectangle. Since the total height of the larger rectangle is 5 units and the bottom rectangle extends down from a part of that, it would likely be 3 units (5 - 2 = 3).
    • However, we have not seen the bottom rectangle extending beyond the 3 units above it directly interacting with the larger rectangle.
    • Area of the smaller rectangle = Length × Width = 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

Since the answer provided mentions the area is not 26, it could be an indication that we assumed the dimensions incorrectly or that the rectilinear relationships depicted in the image may deviate from standard rectangle assumptions. Based on the given dimensions, the total calculated area appears to be consistent.

Please double-check the information or the image for any missing details or different dimensions. If corrections are made, I'd be glad to help further!