For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is 23 and the width is 6. For this set of rectangles, calculate the width of a rectangle whose length is 3.

Answer 1

To find the width of a rectangle with a length of 3 in this set of rectangles, we can use the fact that the length is inversely proportional to the width.

Let L1 be the length of the first rectangle (23) and W1 be the width of the first rectangle (6).

Let L2 be the length of the second rectangle (3) and W2 be the width of the second rectangle.

The relationship between the length and width can be expressed as:
L1 * W1 = L2 * W2

Substitute the values of L1, W1, and L2 into the equation:
23 * 6 = 3 * W2

Solve for W2:
138 = 3 * W2
W2 = 138 / 3
W2 = 46

Therefore, the width of a rectangle with a length of 3 in this set of rectangles is 46.