The area of a rectangle is 105 square centimeters. the width of the rectangle is 7 centimeters. what is the perimeter of the rectangle?

44cm

Step-by-step explanation:

The information we have is:

Area:

width:

------------

To find the perimeter first we need to find the length of the rectangle.

We find it with the formula for the area of a rectangle:

so clearing for length:

substituting known values:

And now we can calculate the perimeter:

the perimeter of the rectangle is 44cm

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)

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