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madreJ [45]
2 years ago
8

For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is 12 a

nd the width is 6. For this set of rectangles, calculate the width of a rectangle whose length is 9.
Mathematics
1 answer:
RSB [31]2 years ago
3 0

Answer:

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

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