Question

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

l=10.5
l equals 10.5

The length is 262.5 m.
The length is 262.5 m.

The length is 10.5 m.
The length is 10.5 m.

The length is 262.5 m2.

Answer 1

To find the length of the rectangle given the area and width, we 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.

In this case, we know:
- The area \( A = 52.5 \, \text{m}^2 \)
- The width \( w = 5 \, \text{m} \)

We can rearrange the formula to solve for \( l \):

\[ l = \frac{A}{w} \]

Substituting the known values:

\[ l = \frac{52.5 \, \text{m}^2}{5 \, \text{m}} \]

Calculating this gives:

\[ l = 10.5 \, \text{m} \]

Thus, the length of the rectangle is **10.5 m**.

In a real-world context, if you have a rectangular space, like a garden or a room, knowing the area (52.5 m²) and the width (5 m), you can determine how long the space needs to be to achieve that area. In this case, the length required to maintain that area is 10.5 m.

So, the correct response is:

**The length is 10.5 m.**