Respuesta :
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,
[tex]A=s^2[/tex] where s is the side length.
We know, [tex]1 \text{ acre}=43560\ ft^2[/tex]
1) The area of square plot is 5 acre.
Area in foot square is [tex]A=5\times 43560=217800\ ft^2[/tex]
Substitute the value in the formula,
[tex]217800=s^2[/tex]
[tex]\sqrt{217800}=s[/tex]
[tex]466.69=s[/tex]
Side nearest to 1/10th foot is 466.7 foot.
2) The area of square plot is 10 acre.
Area in foot square is [tex]A=10\times 43560=435600\ ft^2[/tex]
Substitute the value in the formula,
[tex]435600=s^2[/tex]
[tex]\sqrt{435600}=s[/tex]
[tex]660=s[/tex]
Side nearest to 1/10th foot is 660.0 foot.
3) The area of square plot is 100 acre.
Area in foot square is [tex]A=100\times 43560=4356000\ ft^2[/tex]
Substitute the value in the formula,
[tex]4356000=s^2[/tex]
[tex]\sqrt{4356000}=s[/tex]
[tex]2087.10=s[/tex]
Side nearest to 1/10th foot is 2087.1 foot.
