The composite shape in the image has an area of 40 square inches . What is the area of the rectangle within the composite shape ?
To find the area of the rectangle within the composite shape, we can start by calculating the area of the entire composite shape and then subtracting the areas of the other shapes to isolate the area of the rectangle.
The composite shape consists of a rectangle and a triangle. Given that the area of the entire composite shape is 40 square inches, we know that this area includes both the rectangle and the triangle.
Let's denote the area of the rectangle as A, the base of the triangle as b, and the height of the triangle as h.
The area of a rectangle is given by the formula A_rectangle = length * width.
The area of a triangle is given by the formula A_triangle = (1/2) * base * height.
From the composite shape, we can see that:
A_rectangle + A_triangle = 40 square inches
A + (1/2)*b*h = 40
We are looking to find the area of the rectangle, so we need to isolate A in the equation above.
A = 40 - (1/2)*b*h
Therefore, to find the area of the rectangle, we need to know the values of b and h in the triangle. Given the information shown in the image, we would need additional details to calculate the exact area of the rectangle within the composite shape.