Question

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 110 in. How wide is the strip of the mat showing around the picture?

Answer 1

Answer:

10 in

Step-by-step explanation:

Let x be the width of the mat width showing around the picture. Since the sheet is 20 in wide by 15 in high, and the perimeter of the mat is 110 in. We have the following equation:

2*(20 + x + 15 + x) = 110

35 + 2x = 55

2x = 20

x = 20/2 = 10 in