Use the image to answer the question.
A composite figure is comprised of a rectangle and two congruent right triangle on either side. The triangle have a height of 4 inches and a width of 3 inches.
The composite shape in the image has an area of 40 square inches. What is the area of the rectangle within the composite shape?
(1 point)
Responses
28 square inches
28 square inches
7 square inches
7 square inches
16 square inches
16 square inches
34 square inches
34 square inches
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To find the area of the rectangle within the composite shape, we need to subtract the areas of the two congruent right triangles from the total area of 40 square inches.
Each right triangle has a height of 4 inches and a base of 3 inches, so its area is (1/2)(4)(3) = 6 square inches.
Since there are two of these right triangles, their total area is 2 * 6 = 12 square inches.
Therefore, the area of the rectangle within the composite shape is 40 - 12 = 28 square inches.
The correct answer is: 28 square inches.