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 the composite shape.
The area of each right triangle is (1/2) × base × height. In this case, the base is 3 inches and the height is 4 inches, so the area of each triangle is (1/2) × 3 inches × 4 inches = 6 square inches.
Since there are two triangles, the total area of the triangles is 2 × 6 square inches = 12 square inches.
Therefore, the area of the rectangle within the composite shape is the total area of the composite shape minus the area of the triangles: 40 square inches - 12 square inches = 28 square inches.
Therefore, the correct answer is 28 square inches.
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
28 square inches
28 square inches
7 square inches
7 square inches
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1 answer
1 answer