SOLUTION: The mat around the a picture measures x inches across. The length of the picture with its mat is 40 inches, and the width of the picture with its mat is 24 inches. If the perimeter

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The mat around the a picture measures x inches across. The length of the picture with its mat is 40 inches, and the width of the picture with its mat is 24 inches. If the perimeter      Log On


   

Question 961868: The mat around the a picture measures x inches across. The length of the picture with its mat is 40 inches, and the width of the picture with its mat is 24 inches. If the perimeter of the picture is 64 inches, find the dimensions of the picture.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
First sentence is confusing. I will assume you want to say, "the uniform width of the mat surrounding the picture is x inches."

Length of picture,40-2x
Width of picutre,24-2x
Length of total,40
Width of total,24
Perimeter of picture,2(40-2x)+2(24-2x)=64

You can evaluate the length and width of the picture after you have solved for x from the equation 2%2840-2x%29%2B2%2824-2x%29=64.