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

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,

where s is the side length.

We know,  

1) The area of square plot is 5 acre.

Area in foot square is

Substitute the value in the formula,

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

2) The area of square plot is 10 acre.

Area in foot square is

Substitute the value in the formula,

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

3) The area of square plot is 100 acre.

Area in foot square is

Substitute the value in the formula,

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

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x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)