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
16 square inches
16 square inches
34 square inches
34 square inches
7 square inches
7 square inches
Skip to navigation
The area of the rectangle within the composite shape can be found by subtracting the areas of the two congruent right triangles from the total area of the composite shape.
Each right triangle has a height of 4 inches and a width of 3 inches, so the area of each triangle is (4 * 3) / 2 = 6 square inches.
Since there are two congruent triangles, the total area of the triangles is 2 * 6 = 12 square inches.
Therefore, the area of the rectangle within the composite shape is 40 - 12 = 28 square inches.
So the correct answer is 28 square inches.