Question

Calculate to the nearest 1/10th foot the length of the side of a 5th, 10th, and 100th acre square plot.

Answer 1

Answer and explanation:

To find : Calculate to the nearest 1/10th foot the length of the side of a 5th, 10th, and 100th acre square plot.

Solution :

The area of the square is given by,

`A=s^2` where s is the side length.

We know,
`1 \text{ acre}=43560\ ft^2`

1) The area of square plot is 5 acre.

Area in foot square is
`A=5* 43560=217800\ ft^2`

Substitute the value in the formula,

`217800=s^2`

`√(217800)=s`

`466.69=s`

Side nearest to 1/10th foot is 466.7 foot.

2) The area of square plot is 10 acre.

Area in foot square is
`A=10* 43560=435600\ ft^2`

Substitute the value in the formula,

`435600=s^2`

`√(435600)=s`

`660=s`

Side nearest to 1/10th foot is 660.0 foot.

3) The area of square plot is 100 acre.

Area in foot square is
`A=100* 43560=4356000\ ft^2`

Substitute the value in the formula,

`4356000=s^2`

`√(4356000)=s`

`2087.10=s`

Side nearest to 1/10th foot is 2087.1 foot.