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A rectangle is a four-sided shape with opposite sides that are equal in length. The two key dimensions that define a rectangle are its length and its width.

In our example, the specific measurements provided are:

• Length = 38 inches
• Width = 15 inches

These measurements are crucial because they allow us to calculate important properties of the rectangle, such as area and perimeter. Remember, in any rectangle, each length pairs with a width on the opposite side, forming a simple yet foundational figure in geometry. Understanding and correctly identifying these dimensions is the first step in solving any related mathematical problem.

Formulas are preset equations that allow us to solve mathematical problems efficiently. For calculating the area of a rectangle, there is a straightforward formula.

The formula is given by:

• \[ \text{Area} = \text{Length} \times \text{Width} \]

This formula highlights the relationship between the area and the dimensions of a rectangle.

By multiplying the length and the width, you obtain the area, which shows how much space is covered within the rectangle. Formulas like this one are essential tools in mathematics, enabling quick and accurate calculations.

Solving a problem related to the area of a rectangle involves systematic steps. Let's summarize the process used in our solution:

1. **Identify Given Information**: Start by determining the dimensions provided. In the example, the length is 38 inches, and the width is 15 inches.

2. **Apply the Formula**: Use the area formula: \[ \text{Area} = \text{Length} \times \text{Width} \]. This connects the given dimensions to the mathematical process.

3. **Substitute and Calculate**: Input the known values (38 in and 15 in) into the formula and solve for the area. This step involves:

• Substitute Length: \( 38 \text{ in} \)
• Substitute Width: \( 15 \text{ in} \)
• Calculate: \( 38 \text{ in} \times 15 \text{ in} = 570 \text{ in}^2 \)

Completing these steps ensures a logical method for finding a rectangle's area, supporting both understanding and accuracy.