SOLUTION: A square picture is surrounded by a rectangular frame. The length of the framae's thickness is 8cm and the width's thickness is 6cm. The picture's side length is x. The total area

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A square picture is surrounded by a rectangular frame. The length of the framae's thickness is 8cm and the width's thickness is 6cm. The picture's side length is x. The total area       Log On


   

Question 1003123: A square picture is surrounded by a rectangular frame. The length of the framae's thickness is 8cm and the width's thickness is 6cm. The picture's side length is x. The total area is to be 320cm^2.
Find the side length of the picture (x).

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The description needs to be stated better, but it is still understandable.
x%5E2 is the area of the picture.
%28x%2B2%2A8%29%28x%2B2%2A6%29 is the total area of frame plus picture.
Total area, which is also the "total area of frame plus picture", is 320 square cm.

Put the last two parts of the analysis together:
highlight_green%28%28x%2B16%29%28x%2B12%29=320%29
You should have no real trouble solving the quadratic equation. Just several arithmetic and a few simplification steps.