\( \square \) For Sale Area between \( 3000-3100 \mathrm{sq} . \mathrm{m} \). Which of the following is a possible value for the side length of the plot of land? 100 meters 55 meters 30 meters 85 meters

To determine which side length results in an area between \(3000\) and \(3100\) square meters for a square plot of land, we can use the formula for the area of a square: \[ \text{Area} = (\text{Side Length})^2 \] Let's evaluate each option: 1. **100 meters:** \[ 100 \times 100 = 10{,}000 \, \text{sq.m} \quad (\text{Too large}) \] 2. **55 meters:** \[ 55 \times 55 = 3{,}025 \, \text{sq.m} \quad (\text{Within the range}) \] 3. **30 meters:** \[ 30 \times 30 = 900 \, \text{sq.m} \quad (\text{Too small}) \] 4. **85 meters:** \[ 85 \times 85 = 7{,}225 \, \text{sq.m} \quad (\text{Too large}) \] **Conclusion:** The side length of **55 meters** results in an area of \(3{,}025\) square meters, which falls within the desired range of \(3000\) to \(3100\) square meters. **Answer:** 55 meters