When the length of a rectangle with a width of 1/6 foot was increased by 2/3 foot, the area of the rectangle became 11/72 square feet. find the original length of the rectangle. explain your reasoning.

To find the original length, you will create a length that has 2/3 added to it and a width of 1/6.

Make an equation equal to the total area of 11/72 square feet.

Then solve for the original length.

Please see the attached picture for the work.

The original length was 1/4 foot.