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

`(27,878,400)/(640) (ft^(2))/(acres) = (x)/(1) (ft^(2))/(acres) \\\\640*x=27,878,400 \\\\x= (27,878,400)/(640)\\\\ x=43,560\ ft^(2)`

Find the edge of the square plot

`=√(43,560) \\= 208.71\ ft`

therefore

the answer is

`208.71\ ft`