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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 m2.
The length is 262.5 m squared .

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

The length is 10.5 m.
The length is 10.5 m.
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Answer 1

To find the length of the rectangle, we can use the formula for the area of a rectangle:

\[ A = l \times w \]

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

We are given:

• The area \( A = 52.5 , \text{m}^2 \)
• The width \( w = 5 , \text{m} \)

We need to find the length \( l \).

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

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

Substituting in the values we have:

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

Now, performing the calculation:

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

So the length of the rectangle is \( 10.5 , \text{m} \).

The correct response is:

The length is 10.5 m.

This means that with a width of 5 m and an area of 52.5 m², the length of the rectangle must be 10.5 meters.