Question

A square plot of land one mile on each edge is 640 acres. given that there are 5280 ft/mi, approximately how many feet on each edge is needed for a square, 1 acre homestead?

Answer 1

we know that

A square plot of land of dimensions  1 mile x 1 mile is 640 acres

5,280 ft is equal to 1 mile

so

5,280 *5,280 =27,878,400 $ft^{2}$-------> is equal to 640 acres

by proportion

$\frac{27,878,400}{640} \frac{ft^{2}}{acres} = \frac{x}{1} \frac{ft^{2}}{acres} \\\\640*x=27,878,400 \\\\x= \frac{27,878,400}{640}\\\\ x=43,560\ ft^{2}$

Find the edge of the square plot

$=\sqrt{43,560} \\= 208.71\ ft$

therefore

the answer is

$208.71\ ft$