Question: Set up the necessary equation where appropriate and solve the given problems. All numbers are accurate to at least two significant digits.
A food company increased the profit on a package of frozen vegetables by decreasing the volume, and keeping the price the same. The thickness of the rectangular package remained at 4.00 cm, but the length and width were reduced by equal amounts from 16.0 cm and 12.0 cm such that the volume was reduced by 10.0%. What are the dimensions of the new container?