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For a particular rectangular region, the ratio of its width to its length is 5 to 12. If the length of the region decreases by 9 units, by how many units does the width change to maintain the original ratio?It must decrease by 9 units.eliminateIt must increase by 9 units.eliminateIt must decrease by 3.75 units.eliminateIt must increase by 3.75 units.

Question

For a particular rectangular region, the ratio of its width to its length is 5 to 12. If the length of the region decreases by 9 units, by how many units does the width change to maintain the original ratio?It must decrease by 9 units.eliminateIt must increase by 9 units.eliminateIt must decrease by 3.75 units.eliminateIt must increase by 3.75 units.

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Solution

The ratio of the width to the length of the rectangle is 5 to 12. This means that for every 12 units of length, there are 5 units of width.

If the length decreases by 9 units, we need to find out how much the width changes to maintain the same ratio.

To do this, we can set up a proportion.

5/12 = x/9

Here, x represents the change in the width.

To solve for x, we can cross-multiply:

5 * 9 = 12 * x

45 = 12x

Then, divide both sides by 12 to solve for x:

x = 45 / 12 = 3.75

Therefore, to maintain the original ratio, the width must decrease by 3.75 units.

This problem has been solved

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