To identify the correct equation for calculating the missing length based on the provided information (a rectangular plot of land with an area of 300 square feet), we need to understand the dimensions involved.
Assuming you have a width of 15 feet (since it's mentioned) and a variable length that might be represented as \(x\), the area of a rectangle is given by the formula:
\[ \text{Area} = \text{Length} \times \text{Width} \]
If the width is 15 feet and the area is 300 square feet, the equation to represent this would be:
\[ 15 \times \text{Length} = 300 \]
Since the length can be represented as \(x\) or \(6 + x\) based on the context given in other choices, we can write:
- For \(15(x) = 300\) (if \(x\) is the only length)
- If \(6 + x\) represents the length, then \(15(6 + x) = 300\) is correct.
From the responses provided, the correct equations can be:
- 15(x+10)=300 if the length was represented as \(x + 10\).
- 15(6 + x) = 300 if the length was represented as \(6 + x\).
Since the area is 300 and width is represented as 15, both equations could be relevant depending on context.
The most straightforward equation relating to your description is:
15(6 + x) = 300
This assumes the actual length is being calculated based on the width of 15 feet and an additional length represented by \(x\).