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.
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.
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