Use the image to answer the question.
An illustration shows a two-dimensional net of a triangular prism with all of its sides open and visible. The net appears as three rectangles joined next to each other. All 4 sides of the middle rectangle are drawn with dashed lines. The area of the left rectangle is 48 square inches. The area of the middle rectangle is 64 square inches, and the area of the rectangle on the right is 80 square inches. Two right triangles adjoin the middle rectangle at the top and bottom, with its perpendicular side measuring 6 inches and the common base side marked with a question mark.
Given the following net, what is the area of the triangular base?
(1 point)
Responses
10 inches
10 inches
24 in.2
24 in. squared
48 in.2
48 in. squared
8 inches
8 inches
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24 in. squared
The area of a triangle is calculated by multiplying the base by the height and dividing by 2. Since the height of the triangle is not given, it can be calculated by taking the difference between the areas of the rectangles on either side of the triangle: 64 - 48 = 16. The height of the triangle is 4 inches (16 divided by the base of 4). Therefore, the area of the triangular base is 4 inches (base) multiplied by 6 inches (height) divided by 2, which equals 24 square inches.