In order to solve this problem, we need to recall the formula for perimeter of a rectangle:

We can substitute in our known values and solve for our unknown variable (i.e. length):

We want to isolate the  to one side of the equation. In order to do this, we will first subtract  from both sides of the equation. 

Next, we can divide each side by 

The length of the rectangle is 

In order to solve this problem, we need to recall the formula for perimeter of a rectangle:

We can substitute in our known values and solve for our unknown variable (i.e. length):

We want to isolate the  to one side of the equation. In order to do this, we will first subtract  from both sides of the equation. 

Next, we can divide each side by 

The length of the rectangle is 

In order to solve this problem, we need to recall the formula for perimeter of a rectangle:

We can substitute in our known values and solve for our unknown variable (i.e. length):

We want to isolate the  to one side of the equation. In order to do this, we will first subtract  from both sides of the equation. 

Next, we can divide each side by 

The length of the rectangle is 

The first step is to square each side of the inequality.

Now simplify each side.

Now subtract the left side of the inequality to make it zero, so that we can use the quadratic formula.

Now we can use the quadratic formula.

Recall the quadratic formula.

Where , , and , correspond to coefficients in the quadratic equation.

In this case  ,  , and .

Now plug these values into the quadratic equation, and we get.

Now since we are dealing with an inequality, we put the least value on the left side, and the greatest value on the right. It will look like the following.

The first step is to square each side of the inequality.

Now simplify each side.

Now subtract the left side of the inequality to make it zero, so that we can use the quadratic formula.

Now we can use the quadratic formula.

Recall the quadratic formula.

Where , , and , correspond to coefficients in the quadratic equation.

In this case ,  , and .

Now plug these values into the quadratic equation, and we get.

Now since we are dealing with an inequality, we put the least value on the left side, and the greatest value on the right. It will look like the following.

The first step is to square each side of the inequality.

Now simplify each side.

Now subtract the left side of the inequality to make it zero, so that we can use the quadratic formula.

Now we can use the quadratic formula.

Recall the quadratic formula.

Where , , and , correspond to coefficients in the quadratic equation.

In this case  ,  , and .

Now plug these values into the quadratic equation, and we get.

Now since we are dealing with an inequality, we put the least value on the left side, and the greatest value on the right. It will look like the following.

The first step is to square each side of the inequality.

Now simplify each side.

Now subtract the left side of the inequality to make it zero, so that we can use the quadratic formula.

Now we can use the quadratic formula.

Recall the quadratic formula.

Where , , and , correspond to coefficients in the quadratic equation.

In this case  ,  , and .

Now plug these values into the quadratic equation, and we get.

Now since we are dealing with an inequality, we put the least value on the left side, and the greatest value on the right. It will look like the following.

To solve this problem, first cross-multiply the inequality to eliminate the denominators. Note that while this is an inequality, you can safely multiply by both denominators since both are positive so there is no need to consider flipping the direction of the inequality. The result of this step is:

Then you can combine like terms by subtracting  from both sides:

Then to isolate the variable term, subtract  from both sides:

Finally, divide both sides by  to get the variable alone:

The first step is to square each side of the inequality.

Now simplify each side.

Now subtract the left side of the inequality to make it zero, so that we can use the quadratic formula.

Now we can use the quadratic formula.

Recall the quadratic formula.

Where , , and , correspond to coefficients in the quadratic equation.

In this case  ,  , and .

Now plug these values into the quadratic equation, and we get.

Now since we are dealing with an inequality, we put the least value on the left side, and the greatest value on the right. It will look like the following.

The first step is to square each side of the inequality.

Now simplify each side.

Now subtract the left side of the inequality to make it zero, so that we can use the quadratic formula.

Now we can use the quadratic formula.

Recall the quadratic formula.

Where , , and , correspond to coefficients in the quadratic equation.

In this case  ,  , and .

Now plug these values into the quadratic equation, and we get.

Now since we are dealing with an inequality, we put the least value on the left side, and the greatest value on the right. It will look like the following.