Question

23,585 Learners found this answer helpful

this composite figure is made up of three shapes stacked on top of one another.
find the area of the middle shape.
middle shape: rectangle
filled-in formula: select...
area: select... \\(\text{in}^2\\)

Explanation:

Identify the middle shape

The composite figure consists of three stacked shapes.
The top shape is a parallelogram.
The middle shape is a rectangle.
The bottom shape is a triangle.

Determine the dimensions

The top side of the parallelogram is \(10\text{ in}\).
Since opposite sides of a parallelogram are equal, the shared boundary is \(10\text{ in}\).
This boundary is the length of the middle rectangle.
The height of the middle rectangle is given as \(4\text{ in}\).

Apply the area formula

The area of a rectangle is calculated using:

$$\text{Area} = \text{length} \times \text{width}$$

Substitute the dimensions:

$$\text{Area} = 10 \times 4$$

Calculate the final area

Multiply the values:

$$\text{Area} = 40\text{ in}^2$$

Answer:

Filled-in formula: \(10 \times 4\)

Area: \(40\)