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
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To find the area of the composite figure, we can break it down into two separate rectangles.
The larger rectangle has a length of 5 units and a width of 4 units. Therefore, its area is 5 * 4 = 20 square units.
The smaller rectangle has a length of 2 units and a width of 3 units. Therefore, its area is 2 * 3 = 6 square units.
To find the total area of the composite figure, we add the areas of the two rectangles: 20 + 6 = 26 square units.
Therefore, the area of the composite figure is 26 square units.
incorrect
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The larger rectangle has a length of 5 units and a width of 4 units. Therefore, its area is 5 * 4 = 20 square units.
The smaller rectangle has a length of 2 units and a width of 3 units. Therefore, its area is 2 * 3 = 6 square units.
To find the total area of the composite figure, we need to subtract the area of the smaller rectangle from the larger rectangle because the smaller rectangle is overlapping the larger rectangle.
The overlapping area is 2 units (bottom length of the smaller rectangle) * 3 units (width of the larger rectangle) = 6 square units.
Therefore, the area of the composite figure is 20 - 6 = 14 square units.
Therefore, the correct answer is 14 square units.
wrong
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We have two rectangles: a larger rectangle and a smaller rectangle at the bottom left.
The larger rectangle has a length of 5 units and a width of 4 units. Therefore, its area is 5 * 4 = 20 square units.
The smaller rectangle has a bottom length of 2 units.
To find the length of the smaller rectangle on the right side, we subtract the bottom length from the total length of the larger rectangle. So, the right side length of the smaller rectangle is 4 units - 3 units (truncated bottom length) = 1 unit.
The width of the smaller rectangle is the same as the width of the larger rectangle, which is 4 units.
Therefore, the area of the smaller rectangle is 1 unit (right side length) * 4 units (width) = 4 square units.
To find the total area of the composite figure, we add the areas of the two rectangles: 20 + 4 = 24 square units.
Therefore, the area of the composite figure is 24 square units.