Question

The length of a rectangle varies inversely with its width. if the length of the rectangle is 60feet when its width is 24 feet, find the length of the rectangle when its width is 40 feet?

Answer 1

The length of a rectangle varies inversely with its width. if the length of the rectangle is 60feet when its width is 24 feetm the length of the rectangle when its width is 40 feet is 36feett

Answer 2

Solution:

The length of the rectangle is 36 feet.

Explanation:

Let l be the length and w be the width of the rectangle.

Now, from the given direction, we have

$l=\frac{k}{w}$

Substitute l = 60 ft, w = 24 ft, to find the constant k

$60=\frac{k}{24}\\\\k=1440$

Now, we have to find the length of the rectangle when w = 40 ft

$l=\frac{1440}{40}\\\\l=36$

Hence, the length of the rectangle is 36 feet.