Final answer:
The width of the fenced part of an allotment with a given perimeter cannot be calculated without knowing the length. Once the length is known, the width can be determined using the formula P = 2l + 2w and solving for w.
Step-by-step explanation:
The student is asking about calculating the width of a fenced part of an allotment with a given perimeter. Since we don't have the length of the allotment, and given that the formula for the perimeter of a rectangle is P = 2l + 2w (where P is perimeter, l is length, and w is width), we cannot solve for the width directly without additional information. However, if the length of the allotment was provided, the width could be determined by rearranging the formula to solve for w, and then substituting the known values for P and l into the equation to find the width.
For example, if we pretend the length of the allotment is similar to the town square example provided, where the length is 39.2 meters, and the perimeter is 50 meters, we would use the equation:
50 = 2 × 39.2 + 2w,
then solve for the width w. It is important to clarify the actual dimensions of the allotment to provide an accurate width measurement.