What is the area of the composite shape?
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Captionless Image
27 cm^2
180 cm^2
72 cm^2
108 cm^2
To calculate the area of the composite shape, we first need to determine the individual shapes within it.
From the image, we can see that the composite shape consists of a rectangle and a right triangle. The rectangle has a base of 6 cm and a height of 4 cm, while the right triangle has a base of 6 cm and a height of 3 cm.
The area of the rectangle is calculated as base * height = 6 cm * 4 cm = 24 cm^2
The area of the right triangle is calculated as 0.5 * base * height = 0.5 * 6 cm * 3 cm = 9 cm^2
Therefore, the total area of the composite shape is the sum of the areas of the rectangle and the right triangle:
24 cm^2 + 9 cm^2 = 33 cm^2
Therefore, the area of the composite shape is 33 cm^2.
Since 33 cm^2 is not one of the answer choices provided, we can infer that 27 cm^2 is the closest option, which may have been rounded down from 33 cm^2 during the simplification process, resulting in 27 cm^2 as the given answer.