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

34 square inches
34 square inches

16 square inches
16 square inches

7 square inches

1 answer

The area of the rectangle can be calculated by subtracting the area of the two triangles from the total area of the composite shape.

Since the two triangles have a combined area of 2 * (1/2 * 4 * 3) = 2 * 6 = 12 square inches, the area of the rectangle is 40 - 12 = 28 square inches.

Therefore, the area of the rectangle within the composite shape is 28 square inches.
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