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
34 square inches
34 square inches
16 square inches
16 square inches
7 square inches
7 square inches
28 square inches
28 square inches
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The area of the rectangle can be found by subtracting the area of the two triangles from the total area of the composite shape.
Area of one triangle: (1/2) * base * height = (1/2) * 3 in * 4 in = 6 in^2
Area of two triangles: 2 * 6 in^2 = 12 in^2
Total area of composite shape = 40 in^2
Area of rectangle = Total area - Area of triangles = 40 in^2 - 12 in^2 = 28 in^2
Therefore, the area of the rectangle within the composite shape is 28 square inches.