Question

A farmer owns about 960 acres of land. If his farm is square, what would be the length of each side in miles, to the nearest tenth of a mile

Answer 1

It is given in the question that

A farmer owns about 960 acres of land. If his farm is square.

First we convert acres to miles square, and the conversion expression is

$1 acre=0.0015625 mi^2$

Therefore,

$960acres=960*0.0015625=1.5 mi^2$

Let the side length of the square be x miles .

And the formula of area of square is

$Area=side^2 \\ 1.5=side^2 \\ side= \sqrt{1.5}=1.2 miles$