SOLUTION: Finding the area of a square.If the 9 ft^2 square painting is mounted with border on a square frame.If the total area of the border is 3.25 ft^2,what is the length of a sid

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Finding the area of a square.If the 9 ft^2 square painting is mounted with border on a square frame.If the total area of the border is 3.25 ft^2,what is the length of a sid      Log On


   



Question 978755: Finding the area of a square.If the 9 ft^2 square painting is mounted with border on a square frame.If the total area of the border is 3.25 ft^2,what is the length of a side of the frame?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Maybe to mean,
Square painting of area 9 ft^2 is mounted on or in a square frame, and the area of the frame border around the picture is 3.25 ft^2. Find the length of any side of the frame.

The uniform width of the border around the picture is a number, x.
If 9 sq.ft. is area of the picture, then 3 feet is the side of this square picture.

Area inside the frame, %283%2B2x%29%283%2B2x%29
Area of just the picture, 3%2A3=9, already given.
Area of the border around the picture, of just the frame itself, highlight%28%283%2B2x%29%5E2-3%2A3=3.25%29.

Solve for x using a few steps of algebra & arithmetic. Note that the question really means, find the value for 3%2B2x.

----further thought,
Solving for x is not necessary. You CAN just solve the equation for 3+2x.
-
%283%2B2x%29%5E2=3.25%2B9
3%2B2x=sqrt%2812.25%29
highlight%283%2B2x=3.5%29.