The width, y, of a rectangle with a fixed area varies inversely with its length, x. The width is 3 inches when the length is 14 inches. Find the width when the length is 30 inches.

The width of the rectangle would be as follows:

 inches

Inverse proportion occurs when one value increases and the other decreases.

The width, , of a rectangle with a fixed area varies inversely with its length, .

So, where is the constant.

The width is inches when the length is inches.

So,

Therefore, inches

Thus, Width is inches when the length is inches.

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Step-by-step explanation:

Given

Required

Find y when x = 30

Being an inverse variation, we have:

Convert the variation to an equation

First, we solve for k

Make k the subject to solve for k

So, the value of k is:

To solve for y when x = 30

Substitute 30 for x and 42 for k in

Make y the subject

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