To find the correct equation for calculating the missing length of a rectangular plot of land given an area of 300 square feet, we need to think about how the area of a rectangle is calculated.
The area \( A \) of a rectangle is given by the formula:
\[ A = \text{length} \times \text{width} \]
From the possible equations you've provided, we want to see which one accurately represents the relationship between the dimensions of the rectangle given that the area is 300 square feet.
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15x = 300: This equation suggests one dimension is 15 and we're solving for the other dimension \( x \). This could be valid if one of the dimensions is indeed 15.
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15(6+x) = 300: This suggests one dimension is 15 and the other dimension is \( 6 + x \). This is a possible relationship.
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15(6) + x + 15(4) = 300: This equation does not correctly represent area calculation because it adds dimensions instead of multiplying them.
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15(x+10) = 300: This suggests one dimension is 15 and the other dimension is \( x + 10 \). This is also a possible relationship.
To determine the missing length based on the area being 300 square feet, we need to focus on equations where \( \text{length} \times \text{width} = 300\).
The two plausible equations for calculating a missing dimension based on a known dimension (15 in this case) would be:
- \( 15x = 300 \): If \( x \) is the other dimension.
- \( 15(6+x) = 300 \): If you have one dimension as 15 and the other as \( 6 + x \).
Since both scenarios could be appropriate for determining the missing dimension, a strong candidate could be:
- 15(6+x) = 300, as it suggests one of the dimensions conditions and provides context for the missing dimension being added to a fixed value.
Without a visual reference to the diagram you mentioned, I'd recommend going with the second equation provided 15(6+x) = 300 as a well-rounded approach for identifying the missing length in these types of problems.
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