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Friday, January 2, 2015

Square, Rectangle, and Parallelogram Problems, 16

Category: Plane Geometry

"Published in Vacaville, California, USA"

Al paints with watercolor 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.

Photo by Math Principles in Everyday Life

Solution:

Consider the given figure above

Photo by Math Principles in Everyday Life

The first thing that we need to do is to get the length and width of the mat. 

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

Hence, the perimeter of the mat is
 
 
 
 
 
 

Therefore, the width of the strip of the mat around the picture is 4 in