To find the length of the rectangular lot, we can use the formula for the area of a rectangle, which is:
Area = Length × Width
In this case, the width is the depth of the lot, which is 275 feet. We also need to convert 23 of an acre to square feet for our calculations. Since 1 acre is equal to 43,560 square feet, we can calculate:
23 of an acre = 23 × 43,560 = 1,001,280 square feet.
Now, we have the area:
Area = 1,001,280 square feet.
We can rearrange the area formula to solve for Length:
Length = Area / Width
Substituting the values we have:
Length = 1,001,280 / 275
Length = 3,644.36 feet.
Therefore, the length of the lot is approximately 3,644.36 feet.