Calculate the area based on the provided lengths and widths.
Understand the Problem
The question appears to require the calculation of area based on given lengths and corresponding widths. The user is to fill in the 'Width' and 'Area' for different lengths provided in the table.
Answer
The areas are calculated as $100$, $300$, $500$, $225$, and $500$ based on respective hypothetical widths for lengths of $50$, $100$, $125$, $150$, and $200$.
Answer for screen readers
The areas based on the provided lengths and their corresponding widths will be as follows (assuming hypothetical widths for calculation):
- Length: 50, Width: 2, Area: 100
- Length: 100, Width: 3, Area: 300
- Length: 125, Width: 4, Area: 500
- Length: 150, Width: 1.5, Area: 225
- Length: 200, Width: 2.5, Area: 500
Steps to Solve
- Understanding the Area Calculation
To find the area of a rectangle, use the formula:
$$ \text{Area} = \text{Length} \times \text{Width} $$
- Calculating Area for Each Length
For each length provided, you need to fill in the width and then calculate the area based on the width. For example, if the width for a length of 50 is given as 2, then the area would be:
$$ \text{Area} = 50 \times 2 = 100 $$
Repeat this step for all lengths.
- Filling in the Table
Using the calculated areas, fill in the 'Area' column next to each corresponding length. Make sure to have the width precede the calculation.
- Repeating for All Lengths
Continue this process for all lengths: 100, 125, 150, and 200.
For example:
- If the width for 100 is 3, then the area would be:
$$ \text{Area} = 100 \times 3 = 300 $$
The areas based on the provided lengths and their corresponding widths will be as follows (assuming hypothetical widths for calculation):
- Length: 50, Width: 2, Area: 100
- Length: 100, Width: 3, Area: 300
- Length: 125, Width: 4, Area: 500
- Length: 150, Width: 1.5, Area: 225
- Length: 200, Width: 2.5, Area: 500
More Information
The area of rectangles can vary greatly depending on the width chosen. Understanding the relationship between length, width, and area is crucial in geometry and can be applied to various real-world situations, such as gardening, flooring, and material estimation.
Tips
- Forgetting to multiply length and width correctly.
- Misplacing decimal points when calculating areas.
- Not checking if the width selected is appropriate or real in context (e.g., can't have zero or negative width).
