MAT240H1 Lecture 16: 240AlgebraI-141103_Hour_24-_rank-nullity,_matrices.pdf

Tatami mats are used as a floor covering in Japan. One possible layout uses four identical rectangular mats and one scquare 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 of one rectangular mat.

b. the length of a rectangular mat is twice the width. find the dimensions of one rectangular mat.

APPLICATIONS: Framing a Painting Ali paints with watercolors on a sheet of paper 20 in. wide by 15 in. high. He then places this sheet on a mat so that a uniformly wide strip of the mat shows all around the picture. The perimeter of the mat is 102 in. How wide is the strip of the mat showing around the picture?