For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is 12 and the width is 6. For this set of rectangles, calculate the width of a rectangle whose length is 9.

The width is 8 units

Step-by-step explanation:

This is a variation problem we are to work with.

Length is inversely proportional to width, let length be l and width be w

modeling the statement mathematically, we have lw = k where k is the proportionality constant

Now let's get k from l = 12 and w = 6

k = 12 * 6 = 72

Now for the second rectangle also;

lw = k given l = 9

9w = 72

w = 72/9

w = 8