- The dimensions of the caramel are identified as \(0.5\) inches by \(0.4\) inches.
- The area of a rectangle is calculated using the formula \(\text{Area} = \text{length} \times \text{width}\).
- Substituting the dimensions, the expression is \(0.5 \times 0.4\).
- The final calculated area is \(\boxed{0.2 \text{ square inches}}\).
Explanation
- Analyzing the Problem and Identifying the Formula
To find the area of one caramel, we start by identifying its dimensions. The caramel is described as a rectangle with a length of \(0.5\) inches and a width of \(0.4\) inches. The formula for the area of a rectangle is:
\[\text{Area} = \text{length} \times \text{width}\]
- Calculating the Area
By substituting the given dimensions into the area formula, we get the expression:
\[\text{Area} = 0.5 \times 0.4\]
To find the numerical result, we multiply these two decimal values:
\[0.5 \times 0.4 = 0.2\]
Thus, the area of one caramel is \(\boxed{0.2 \text{ square inches}}\).
Examples
In everyday life, calculating the area of small items is common in various industries, such as food manufacturing or packaging design. For instance, if you are designing labels for pieces of candy, you need to know the surface area of the item to ensure the label fits perfectly. By understanding how to calculate the area of basic shapes like rectangles, you can efficiently plan materials, minimize waste, and ensure the professional appearance of your products.