Question

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?

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

To find the area of the rectangle within the composite shape, we first need to find the total area of the composite shape and then subtract the areas of the two congruent right triangles.

The two congruent right triangles each have an area of 1/2 * base * height = 1/2 * 3 * 4 = 6 square inches. Since there are two of them, their combined area is 2 * 6 = 12 square inches.

Since the total area of the composite shape is 40 square inches, the area of the rectangle can be found by subtracting the area of the two triangles from the total area:

40 - 12 = 28 square inches

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