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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
Remaining Attempts : 3

Answer 1

To find the area of the composite figure, we need to calculate the area of both rectangles separately and then add them together.

1. Area of the larger rectangle:

   • Length = 4 units
   • Width = 5 units
   • Area = Length × Width = 4 × 5 = 20 square units

2. Area of the smaller rectangle:

   • Length = 2 units (the bottom length)
   • Height = The height of the larger rectangle that is not part of the smaller rectangle is calculated by taking away the smaller rectangle's width from the larger rectangle's total height. Given that the smaller rectangle is indicated to have a height that doesn't complicate the figure, we assume it has a height equal to the bottom length of the larger rectangle. In this case, the height remains as is which would be 3 units because it rises from the bottom to touch the larger rectangle's line on the right.
   • Area = Length × Height = 2 × 3 = 6 square units

3. Total area of the composite figure:

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

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