SOLUTION: A square painting measures x inches on each side. The painting is uniformly surrounded by a frame that measures 5 inches on each side. Write a polynomial in descending powers of x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A square painting measures x inches on each side. The painting is uniformly surrounded by a frame that measures 5 inches on each side. Write a polynomial in descending powers of x       Log On


   

Question 282064: A square painting measures x inches on each side. The painting is uniformly surrounded by a frame that measures 5 inches on each side. Write a polynomial in descending powers of x which expresses the area of the square that includes the painting and the frame. Then write an expression for the area of the frame.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Since the frame is square and measures 5 inches on a side, the area of the frame and the picture it contains is simply and the actual size of the picture does not have any bearing on the total area of the frame and picture (as long as holds that is).

So, the area of the frame AND the picture is 25, but the area of just the by picture is . Hence, the area of just the frame is the area of the frame and picture minus the area of the picture, or

John