The width of a rectangle is fixed at 6cm. Determine (in terms of an inequality) those lengths for which the area will be less than 126cm^2

Question

anonymous · Answer

Let's begin with the equation for a rectangle:

Area = length x width

Now let's say that one side is fixed, and let's put in the maximum area:

126cm^2 = 6cm * x

We know that this is the highest possible value of "x", since any higher and the area would only increase. So, let's solve for x:

126 = 6x

Divide by 6 on both sides:

21 = x

So, 21 is the highest value of x - expressed in an inequality:

$$x \le 21$$

anonymous · Answer

Thank you for explaining it.