The area of a rectangle is calculated with the formula A=lw. If the area of a rectangle is 52.5 m2 and the width is 5 m, what is the length? Explain the solution to the real-world problem.(1 point) Responses The length is 262.5 m. The length is 262.5 m. The length is 10.5 m. The length is 10.5 m. l=10.5 l equals 10.5 The length is 262.5 m2. The length is 262.5 m squared .

Answer 1

To find the length of a rectangle when given its area and width, you can use the formula for the area of a rectangle:

\[ A = l \times w \]

where:

• \( A \) is the area,
• \( l \) is the length,
• \( w \) is the width.

Given:

• Area \( A = 52.5 , m^2 \)
• Width \( w = 5 , m \)

We need to solve for the length \( l \):

1. Start with the formula: \[ 52.5 = l \times 5 \]

2. To isolate \( l \), divide both sides by 5: \[ l = \frac{52.5}{5} \]

3. Now calculate the right side: \[ l = 10.5 \]

So, the length \( l \) is \( 10.5 , m \).

Explanation of the Solution:

In this real-world problem, we are asked to determine the length of a rectangle given the area and width. By rearranging the area formula and substituting the known values, we calculated the length directly. The answer \( 10.5 , m \) indicates that the rectangle, having a width of \( 5 , m \), occupies an area of \( 52.5 , m^2 \). This solution is practical as it reflects how measurements of length and area relate in rectangular spaces, which is important in fields like construction, design, or planning where you might want to ensure enough space is available for specific usages.

Thus, the correct answer is: The length is 10.5 m.