35 acre lots - Math Central

HOME

Math Central

Quandaries & Queries

Question from melisa, a parent:

we are splitting a 320 acre parcel into five 35 acre lots with one 145 ace lot. I have the footage of each side there are eight:
5280 x 2640x2640then out1320x1320up x2640back inx1320upx1320this now would meet back to the 5280foot side i know there is a half of a square mile and 320 acres.what would the measurements be in feet for length to make a square or a rectangle to make a 35 acre lot?

Melisa,

There are 43560 square feet in an acre so there are 43560 × 35 = 1524600 square feet in 35 acres. The square root of 152460 is 1234.7 feet so a square that is 1234.7 feet on a side has an area of 35 acres.

An rectangle with its length times its width equal to 1524600 square feet has an area of 35 acres.

Harley

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.