The parallelogram shown below has an area of
20 units squared. Find the missing base

5 units

Step-by-step explanation:

The area of a parallelogram is . SInce we know the area and the height, we can directly plug the values into this equation and solve for the base.

20=b(4)         [divide both sides by 4]

b=5 units

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)