To find the length of the rectangle when the area (A) and width (w) are known, we can rearrange the area formula \( A = lw \) to solve for \( l \):
\[ l = \frac{A}{w} \]
In this case, the area \( A \) is given as \( 52.5 , \text{m}^2 \) and the width \( w \) is \( 5 , \text{m} \). Now, we can substitute these values into the formula:
\[ l = \frac{52.5 , \text{m}^2}{5 , \text{m}} \]
Now, perform the division:
\[ l = 10.5 , \text{m} \]
Thus, the length of the rectangle is \( 10.5 , \text{m} \).
In terms of explanation, this calculation shows that if you have a rectangle with a specific area and width, you can find the length by dividing the area by the width. In this real-world scenario, knowing the dimensions of a rectangle is important in various applications, such as determining the amount of flooring needed for a room or the size of a piece of land. Here, the response that correctly identifies the length is:
The length is 10.5 m.
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