SOLUTION: A picture is 5 inches by 7 inches. There is a frame around the picture that is of uniform width. The area of the frame and the picture combined is 72 in2. How wide is the picture f

Algebra ->  Graphs -> SOLUTION: A picture is 5 inches by 7 inches. There is a frame around the picture that is of uniform width. The area of the frame and the picture combined is 72 in2. How wide is the picture f      Log On


   

Question 963076: A picture is 5 inches by 7 inches. There is a frame around the picture that is of uniform width. The area of the frame and the picture combined is 72 in2. How wide is the picture frame?
Write an equation that you would use to solve for x, the width of the picture frame.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Picture is w by L and the uniform width for the frame around the picture is u. The combined area of frame and picture is %28w%2B2u%29%28L%2B2u%29=A. You are given w and L, but u is an unknown variable. A is also given.

The area equation highlight_green%28%28w%2B2u%29%28L%2B2u%29=A%29 has only one unknown variable and this can be solved, and it is what is asked to be solved.

Solve as far as you can symbolically and choose when you wish to using w=5, L=7, A=72.