Tatami mats are used as a floor covering in Japan. One possible layout uses four identical rectangular mats and one square mat, as shown. The area of the square mat is half the area of one of the rectangular mats. a. Write and solve an equation to find the area A of one rectangular mat.

Equation:
=81
The area is
ft2.

b. The length of a rectangular mat is twice the width. Use Guess, Check, and Revise to find the dimensions on one rectangular mat.

The length of the mat is
feet and the width is
feet.