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For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is 5 and the width is 21. For this set of rectangles, calculate the width of a rectangle whose length is 35.

Question

For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is 5 and the width is 21. For this set of rectangles, calculate the width of a rectangle whose length is 35.

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Solution

Sure, let's solve this step by step:

  1. First, we need to understand the relationship between the length and the width of the rectangles. Since they are inversely proportional, we can say that the product of the length and the width of any rectangle in the set is a constant.

  2. We can find this constant by multiplying the length and the width of the given rectangle. So, for the rectangle with length 5 and width 21, the constant is 5 * 21 = 105.

  3. Now, we can find the width of a rectangle with length 35 by dividing the constant by the length. So, the width is 105 / 35 = 3.

So, the width of a rectangle whose length is 35 in this set of rectangles is 3.

This problem has been solved

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