The composite shape in the image has an area of 40 square inches. What is the area of the rectangle within the composite
a. 7 square inches
b. 34 square inches
c. 16 square inches
d. 28 square inches
b. 34 square inches
To find the area of the rectangle within the composite shape, we need to subtract the area of the triangle from the total area of the composite shape.
The composite shape can be divided into a rectangle and a triangle. The area of the triangle is 6 square inches (1/2 * base * height = 1/2 * 8 * 6 = 24 square inches).
Therefore, the area of the rectangle is 40 - 6 = 34 square inches.
So, the correct option is b. 34 square inches.
wrong
Let's reassess.
The total area of the composite shape can be split into a rectangle and a triangle. The triangle has an area of 24 square inches, and the total area of the composite shape is 40 square inches.
To find the area of the rectangle:
Area of Rectangle = Total Area - Area of Triangle
Area of Rectangle = 40 - 24
Area of Rectangle = 16 square inches
Therefore, the correct answer is c. 16 square inches.