What is the length of a rectangular garden whose perimeter is 32 cm and area 39 cm^2?

Length = 13 cm.

Step-by-step explanation:

If the length is L and the width is W we have the system:

2L + 2W = 32

LW = 39

From the first equation:

L + W = 16 and

L = 16 - W

Substitute this in the second equation:

W(16 - W) = 39

16W - W^2 = 39

W^2 - 16W + 39 = 0

(w - 13)(W - 3) = 0

W = 13, 3

As W < L,  W must be 3  because L = 16-13 = 3 does not make sense.

So Length = 16 - 3 = 13.

l.jnl.j/n.m,lm,

step-by-step explanation:

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)